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pro vyhledávání: '"Wei Bang Gong"'
Autor:
De Guang Han, Wei Bang Gong
Publikováno v:
Proceedings of the American Mathematical Society. 120:755-760
In this paper we will give a complete characterization of the operator B B which satisfies the spectral condition σ ( A B ) = σ ( B A ) \sigma (AB) = \sigma (BA) (resp. σ e ( A B ) = σ e ( B A ) ) {\sigma _e}(AB) = {\sigma _e}(BA)) for every A A
Autor:
Wei Bang Gong, Jun Zhu
Publikováno v:
Proceedings of the American Mathematical Society. 115:435-440
We shall show that B(H) can be represented by the strong closure of the linear span of the compounds of a fixed operator in B(H) and the rank one operators, composed only by the vectors of a certain orthonormal basis of H, in a nest algebra, even, un
Autor:
Wei Bang Gong
Publikováno v:
Proceedings of the American Mathematical Society. 100:599-600
A simple proof is given of the Theorem. If A A and B ∗ {B^ * } are hyponormal, then ‖ A X − X B ‖ 2 ≥ ‖ A ∗ X − X B ∗ ‖ 2 {\left \| {AX - XB} \right \|_2} \geq {\left \| {{A^ * }X - X{B^ * }} \right \|_2} for every X X in the Hilb