In this article we introduce the paranormed sequence spaces （f,A, Am,p）, c0（f,A,Am,p） and L00（f,A, Am,p）, associated with the multiplier sequence ∧ = （hk）, defined by a modulus function f. We study their diff...In this article we introduce the paranormed sequence spaces （f,A, Am,p）, c0（f,A,Am,p） and L00（f,A, Am,p）, associated with the multiplier sequence ∧ = （hk）, defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.展开更多
A bounded linear operator T on a complex Hilbert space H is called（n, k）-quasi-*-paranormal if ║T;（T;x） ║;║ T;x║;≥║ T*（T;x）║ for all x ∈ H,where n, k are nonnegative integers. This class of operators has...A bounded linear operator T on a complex Hilbert space H is called（n, k）-quasi-*-paranormal if ║T;（T;x） ║;║ T;x║;≥║ T*（T;x）║ for all x ∈ H,where n, k are nonnegative integers. This class of operators has many interesting properties and contains the classes of n-*-paranormal operators and quasi-*-paranormal operators. The aim of this note is to show that every Riesz idempotent E;with respect to a non-zero isolated spectral point λ of an（n, k）-quasi-*-paranormal operator T is self-adjoint and satisfies ran E;= ker（T- λ） = ker（T- λ）*.展开更多
An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paran...An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paranormal introduced in [10], [14], respectively. Yamazaki and Yanagida [38] introduced the class of absolute-（p, r）-paranormal operators as a further generalization of the classes of both absolute-k-paranormal and p-paranormal operators. An operator T ∈ B（H） is called absolute-（p, r）-paranormal operator if ｜｜｜T｜p｜T^＊ ｜^rx｜｜^r 〉 ｜｜｜T^＊｜^rx｜｜p＋r for every unit vector x ∈ H and for positive real numbers p 〉 0 and r 〉 0. The famous result of Browder, that self adjoint operators satisfy Browder＇s theorem, is extended to several classes of operators. In this paper we show that for any absolute-（p, r）- paranormal operator T, T satisfies Browder＇s theorem and a-Browder＇s theorem. It is also shown that if E is the Riesz idempotent for a nonzero isolated point μ of the spectrum of a absolute-（p, r）-paranormal operator T, then E is self-adjoint if and only if the null space of T -μ, N（T - μ） N（T^＊ - ^μ）.展开更多
The limit and the problem of modern religion and science are due to the materialistic, mechanistic, and dichotomous thought that separates humanity from God, spirit from body and I from you. Indicating that the method...The limit and the problem of modern religion and science are due to the materialistic, mechanistic, and dichotomous thought that separates humanity from God, spirit from body and I from you. Indicating that the methodology is wrong, the author will suggest an alternative to solve its problem. In the body, the author will introduce the paranormal phenomena focusing on the descending of the Holy Spirit by the Victor on NRMs in Korea. The author will speak of the differences between Aura and the light of the Holy Spirit using some new methodologies of participant observation by film photo-graphing and interviewing testimonies from fieldwork. Furthermore the author attempted to research scientifically how the light of life emitted from the Victor influences humanity and all things. The author will tell the theory of bio scientific and biblical salvation and immortality based on somatic. This paper will contribute in revealing the invisible God and the Holy Spirit to be physically seen.展开更多
This work is geared to carry out epistemic analysis of Kantian ethics of duty call vis-à-vis paranormal in Nigerian society among clergymen.The recent changes in Nigerian and other African countries like colonial...This work is geared to carry out epistemic analysis of Kantian ethics of duty call vis-à-vis paranormal in Nigerian society among clergymen.The recent changes in Nigerian and other African countries like colonialism that brought Western education,globalization,urbanization,and new religion(Islam and Christianity)have made it that divination in traditional African religion is no longer in vogue in this contemporary period.Divination and fortune telling have taken a new dimension in form of faith healing and miracles by some prophets and so called men of God like pastors,priests,and imam.The quest for materialism among the ministers and clerics of Islamic,Christian and traditional religion has made them abuse their religious calling for their selfish interests.This work makes use of analytic and critical methods of data analysis.This work postulates that Immanuel Kant’s ethics of duty call serves to provide a guiding principle to Nigeria clergymen of different religions on the need for them to carry out their religious duties out of good will.On the other hand,twisting or distorting the teachings of their religion to serve their various selfish interests contravenes Immanuel Kant’s ethics of duty call.Finally,they have to contribute positively to nation building by propagating or fostering the positive ideology,theories,or doctrines that will promote love and national unity in a multicultural country like Nigeria.展开更多
We introduce a new family of classes of operators termed as *p-paranormal operator, classes *A(p,p);p > 0 and *A(p,q);p, q > 0, parallel to p-paranormal operator and classes A(p,p);p> 0 and A(p,q);p, q > 0...We introduce a new family of classes of operators termed as *p-paranormal operator, classes *A(p,p);p > 0 and *A(p,q);p, q > 0, parallel to p-paranormal operator and classes A(p,p);p> 0 and A(p,q);p, q > 0 introduced by M. Fujii, D. Jung, S. H. Lee, M. Y. Lee and R. Nakamoto [1]. We present a necessary and sufficient condition for p-hyponormal operator T∈B(H)to be *p-paranormal and the monotonicity of *A(p,q). We also present an alternative proof of a result of M. Fujii, et al. [1, Theorem 3.4].展开更多
In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-di...In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-difference means are in the linear space l（p） defined by I.J.Maddox. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from l（u, v, p, △（m）） to l∞, c, and co. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp（U, v, △（m）） （1 ≤ p 〈 ∞）.展开更多
文摘In this article we introduce the paranormed sequence spaces （f,A, Am,p）, c0（f,A,Am,p） and L00（f,A, Am,p）, associated with the multiplier sequence ∧ = （hk）, defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
基金supported by National Natural Science Foundation of China(11301077,11301078,11401097,11501108)Natural Science Foundation of Fujian Province(2015J01579,2016J05001)
文摘A bounded linear operator T on a complex Hilbert space H is called（n, k）-quasi-*-paranormal if ║T;（T;x） ║;║ T;x║;≥║ T*（T;x）║ for all x ∈ H,where n, k are nonnegative integers. This class of operators has many interesting properties and contains the classes of n-*-paranormal operators and quasi-*-paranormal operators. The aim of this note is to show that every Riesz idempotent E;with respect to a non-zero isolated spectral point λ of an（n, k）-quasi-*-paranormal operator T is self-adjoint and satisfies ran E;= ker（T- λ） = ker（T- λ）*.
基金supported by Taibah University Research Center Project(1433/803)
文摘An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paranormal introduced in [10], [14], respectively. Yamazaki and Yanagida [38] introduced the class of absolute-（p, r）-paranormal operators as a further generalization of the classes of both absolute-k-paranormal and p-paranormal operators. An operator T ∈ B（H） is called absolute-（p, r）-paranormal operator if ｜｜｜T｜p｜T^＊ ｜^rx｜｜^r 〉 ｜｜｜T^＊｜^rx｜｜p＋r for every unit vector x ∈ H and for positive real numbers p 〉 0 and r 〉 0. The famous result of Browder, that self adjoint operators satisfy Browder＇s theorem, is extended to several classes of operators. In this paper we show that for any absolute-（p, r）- paranormal operator T, T satisfies Browder＇s theorem and a-Browder＇s theorem. It is also shown that if E is the Riesz idempotent for a nonzero isolated point μ of the spectrum of a absolute-（p, r）-paranormal operator T, then E is self-adjoint if and only if the null space of T -μ, N（T - μ） N（T^＊ - ^μ）.
文摘The limit and the problem of modern religion and science are due to the materialistic, mechanistic, and dichotomous thought that separates humanity from God, spirit from body and I from you. Indicating that the methodology is wrong, the author will suggest an alternative to solve its problem. In the body, the author will introduce the paranormal phenomena focusing on the descending of the Holy Spirit by the Victor on NRMs in Korea. The author will speak of the differences between Aura and the light of the Holy Spirit using some new methodologies of participant observation by film photo-graphing and interviewing testimonies from fieldwork. Furthermore the author attempted to research scientifically how the light of life emitted from the Victor influences humanity and all things. The author will tell the theory of bio scientific and biblical salvation and immortality based on somatic. This paper will contribute in revealing the invisible God and the Holy Spirit to be physically seen.
文摘This work is geared to carry out epistemic analysis of Kantian ethics of duty call vis-à-vis paranormal in Nigerian society among clergymen.The recent changes in Nigerian and other African countries like colonialism that brought Western education,globalization,urbanization,and new religion(Islam and Christianity)have made it that divination in traditional African religion is no longer in vogue in this contemporary period.Divination and fortune telling have taken a new dimension in form of faith healing and miracles by some prophets and so called men of God like pastors,priests,and imam.The quest for materialism among the ministers and clerics of Islamic,Christian and traditional religion has made them abuse their religious calling for their selfish interests.This work makes use of analytic and critical methods of data analysis.This work postulates that Immanuel Kant’s ethics of duty call serves to provide a guiding principle to Nigeria clergymen of different religions on the need for them to carry out their religious duties out of good will.On the other hand,twisting or distorting the teachings of their religion to serve their various selfish interests contravenes Immanuel Kant’s ethics of duty call.Finally,they have to contribute positively to nation building by propagating or fostering the positive ideology,theories,or doctrines that will promote love and national unity in a multicultural country like Nigeria.
文摘We introduce a new family of classes of operators termed as *p-paranormal operator, classes *A(p,p);p > 0 and *A(p,q);p, q > 0, parallel to p-paranormal operator and classes A(p,p);p> 0 and A(p,q);p, q > 0 introduced by M. Fujii, D. Jung, S. H. Lee, M. Y. Lee and R. Nakamoto [1]. We present a necessary and sufficient condition for p-hyponormal operator T∈B(H)to be *p-paranormal and the monotonicity of *A(p,q). We also present an alternative proof of a result of M. Fujii, et al. [1, Theorem 3.4].
文摘In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-difference means are in the linear space l（p） defined by I.J.Maddox. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from l（u, v, p, △（m）） to l∞, c, and co. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp（U, v, △（m）） （1 ≤ p 〈 ∞）.
基金The National Natural Science Foundation of China(11401190)Key Project of Educational Department of Hubei Province of China(D20161401)Humanities and Social Sciences of Ministry of Education Planning Fund(17YJA790098)
