In this paper,we study the stability of the orthogonal equation,which is closely related to the results by W.Fechner and J.Sikorska in 2010.There are some differences that we consider the target space with theβ-homog...In this paper,we study the stability of the orthogonal equation,which is closely related to the results by W.Fechner and J.Sikorska in 2010.There are some differences that we consider the target space with theβ-homogeneous norm and quasi-norm.Overcoming theβ-homogeneous norm and quasi-norm bottlenecks,we get some new results.展开更多
In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1197149312071491)the Fundamental Research Funds for the Central Universities(Grant No.2021qntd21)。
文摘In this paper,we study the stability of the orthogonal equation,which is closely related to the results by W.Fechner and J.Sikorska in 2010.There are some differences that we consider the target space with theβ-homogeneous norm and quasi-norm.Overcoming theβ-homogeneous norm and quasi-norm bottlenecks,we get some new results.
基金This research is supported by National Natural Science Foundation of China(19971046) RFDP(2001005513)
文摘In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.
