Some properties about stable subset S(θ n) and image Im(θ n) of self homomorphism \{θ n:x→0*x n\} are discussed. The characterization that Im(θ n) becomes an ideal of BCI algebra X is given.
In this paper,a generalized Toeplitz operator is defined and some of results about the classical Toeplitz operator are generalized.In particular,we obtain the necessary and sufficient condition for the product of two ...In this paper,a generalized Toeplitz operator is defined and some of results about the classical Toeplitz operator are generalized.In particular,we obtain the necessary and sufficient condition for the product of two such Toeplitz operators to still be Toeplitz operator and the necessary and sufficient condition for such Toeplitz operator to be normal operator.Finally,a necessary condition for two such Toeplitz operators to be commutative is established.展开更多
文摘Some properties about stable subset S(θ n) and image Im(θ n) of self homomorphism \{θ n:x→0*x n\} are discussed. The characterization that Im(θ n) becomes an ideal of BCI algebra X is given.
基金Foundation item： the Natural Science Foundation of Jiangxi Province （No. 2007GZS0371）
文摘In this paper,a generalized Toeplitz operator is defined and some of results about the classical Toeplitz operator are generalized.In particular,we obtain the necessary and sufficient condition for the product of two such Toeplitz operators to still be Toeplitz operator and the necessary and sufficient condition for such Toeplitz operator to be normal operator.Finally,a necessary condition for two such Toeplitz operators to be commutative is established.
