منابع مشابه
One - Sided M - Ideals and Multipliers in Operator Spaces , I
The theory of M-ideals and multiplier mappings of Banach spaces naturally generalizes to left (or right) M-ideals and multiplier mappings of operator spaces. These subspaces and mappings are intrinsically characterized in terms of the matrix norms. In turn this is used to prove that the algebra of left adjointable mappings of a dual operator space X is a von Neumann algebra. If in addition X is...
متن کامل- Sided M - Ideals and Multipliers in Operator Spaces
The theory of M-ideals and multiplier mappings of Banach spaces naturally generalizes to left (or right) M-ideals and multiplier mappings of operator spaces. These subspaces and mappings are intrinsically characterized in terms of the matrix norms. In turn this is used to prove that the algebra of left adjointable mappings of a dual operator space X is a von Neumann algebra. If in addition X is...
متن کاملC0-semigroup and Operator Ideals
Let T (t), 0 ≤ t < ∞, be a one parameter c0-semigroup of bounded linear operators on a Banach space X with infinitesimal generator A and R(λ, A) be the resolvent operator of A. The Hille-Yosida Theorem for c0-semigroups asserts that the resolvent operator of the infinitesimal generator A satisfies ‖R(λ, A)‖ ≤ M λ−ω for some constants M > 0 and λ ∈ R (the set of real numbers), λ > ω. The object ...
متن کاملReal and Complex Operator Ideals
The powerful concept of an operator ideal on the class of all Banach spaces makes sense in the real and in the complex case. In both settings we may, for example, consider compact, nuclear, or 2–summing operators, where the definitions are adapted to each other in a natural way. This paper deals with the question whether or not that fact is based on a general philosophy. Does there exists a one...
متن کاملUnusual Traces on Operator Ideals
In this note we ans~ycr a question of A. Prmsm by constructing an example of a quasi-normed operator ideal on a HILBEBT space which admits more than one continuous trace. We aiso characterize the cIms of uniquely traceable operators as described below. Let H be a separable =BERT space and let a be an ideal in X[H) (the compact operators on H). Then a trace “21) on B i s 8 linear functional t: J...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.2307/2160989