1993中国科学通报:英文版Requires access

Products of Diagonal Operators

吴培元, 侯晋川, 高明杵, 张秀玲

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Abstract

Let X be a separable complex Hilbert space, B(X)the set of all (bounded linear)operators acting on X. For T∈B(X), the question whether T can be factorized into the product of some good operators has been discussed by many authors (e. g. Ref. [1]—[6]). In [1], Wu obtained some sufficient and necessary conditions for an operator to be a prod-

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Let X be a separable complex Hilbert space, B(X)the set of all (bounded linear)operators acting on X. For T∈B(X), the question whether T can be factorized into the product of some good operators has been discussed by many authors (e. g. Ref. [1]—[6]). In [1], Wu obtained some sufficient and necessary conditions for an operator to be a prod-

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Available abstract

Let X be a separable complex Hilbert space, B(X)the set of all (bounded linear)operators acting on X. For T∈B(X), the question whether T can be factorized into the product of some good operators has been discussed by many authors (e. g. Ref. [1]—[6]). In [1], Wu obtained some sufficient and necessary conditions for an operator to be a prod-

Key concepts: Mathematics, Linear operators, Hilbert space, Bounded function, Bounded operator, Separable space, Diagonal, Operator (biology)

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