PUTNAM

作品数：27被引量：8H指数：1
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相关机构：东北财经大学河海大学华东纺织工学院复旦大学更多>>
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ON THE PUTNAM-FUGLEDE THEOREM被引量：1
《Chinese Science Bulletin》1985年第11期1437-1440,共4页李绍宽 严绍宗 
In [1—3], we have discussed problems on the Putnam-Fuglede theorem of non-normal operators which reduce AX=XB’（AXB=X） to A*X =XB* （A*XB* =X）. For the normal operators the following problems are considered: Let ...
关键词：OPERATORS PUTNAM BOUNDEDNESS holds DIAGONAL QUESTIONS 孟化 万加 成口 一卿 
THREE FORMS OF THE PUTNAM-FUGLEDE THEOREM ARE EQUIVALENT
《Chinese Science Bulletin》1984年第6期848-,共1页杜鸿科 侯晋川 
For bounded linear operators on a Hilbert space, we prove that the following three forms of the Putnam-Fuglede theorem are equivalent. Theorem PF. If M and N are normal operators and X is an operator, then MX=XN
关键词：OPERATORS PUTNAM implies 云叶 Weiss 了万 
ON THE PUTNAM-FUGLEDE THEOREM OF SOME NONNORMAL OPERATORS
《Chinese Science Bulletin》1984年第5期703-,共1页侯晋川 
An operator in this letter means a bounded linear operator from a Hilbert space into another (these spaces may be the same). We
关键词：LETTER 名时 心洲 心君 心厌 心印 工对 
ON THE ASYMPTOTIC PUTNAM-FUGLEDE THEOREM
《Chinese Science Bulletin》1984年第3期419-,共1页李绍宽 
In this letter, we shall prove the asymptotic Putnam-Fuglede theorem of hyponormal operators by using the Berberian technique: Let H oe a Hilbert space and Iet X={{x_n}}:{x_n} is a bounded sequence in H}.
关键词：OPERATORS PUTNAM ASYMPTOTIC LETTER 万五 
ON AN INEQUALITY OF HILBERT-SCHMIDT NORM
《Chinese Science Bulletin》1983年第10期1429-,共1页杜鸿科 
Let B（?） denote the set of all bounded linear operators on a Hilbert space H. It is well known that normal operators of B（H） have an important property——the Fuglede-Putnam theorem. In recent years, a number of p...
关键词：OPERATORS PUTNAM TOUCH 日卜 翻招 知分 万户 
BERGMAN SHIFT IS NOT UNITARILY EQUIVALENT TO A TOEPLITZ OPERATOR被引量：1
《Chinese Science Bulletin》1983年第8期1027-1030,共4页孙顺华 
It is shown in this note that the answer to Abrahamse’s Problem 3 in [1] is that the Bergman shift is not unitarily equivalent to a Toeplitz operator. Obviously, this problem should be considered before the Halmos co...
关键词：TOEPLITZ answer conjecture PUTNAM proof invariant UNILATERAL outer holds THANK 
ON FUNCTIONAL TRANSFORMATION OF HYPONORMAL OPERATORS
《Chinese Science Bulletin》1981年第1期1-4,共4页夏道行 李绍宽 
Let H be a complex separable Hilbert space and L (H) (resp. L_α (H)) be the set of all the linear bounded (resp. bounded self-adjoint) operators on H. For X, Y ∈ L_α (H), let φ, ψ be the bounded real valued Baire...
关键词：operators SEPARABLE valued ADJOINT kernel INEQUALITY PUTNAM singular STRICTLY SUBSET 
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