Results 11 to 20 of about 521,948 (283)
Rosenthal operator spaces [PDF]
In 1969 Lindenstrauss and Rosenthal showed that if a Banach space is isomorphic to a complemented subspace of an L_p-space, then it is either a script L_p-space or isomorphic to a Hilbert space.
Junge, Marius +2 more
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In this work we study the following three space problem for operator spaces: if X is an operator space with base space isomorphic to a Hilbert space and X contains a completely isomorphic copy of the operator Hilbert space OH with respective quotient ...
Corrêa, Willian Hans Goes
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Operator Ideals and Operator Spaces [PDF]
We prove that every full symmetrically normed ideal of operators on a Hilbert space is realizable as the set of completely bounded maps between two homogeneous operator Hilbert spaces, with the c.b. norm equivalent to (but in general not equal to) the symmetric norm. We show that one can have equality of the c.b.
Mathes, D. Benjamin, Paulsen, Vern I.
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Mean oscillation and boundedness of multilinear operator related to multiplier operator
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
doaj +1 more source
Integral type operators from normal weighted Bloch spaces to QT,S spaces
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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Sharp Constants for q-Analogue of Hausdorff Operators on Central q-Morrey Spaces
In this paper, we establish the sharp constant for q-analogus of Hausdorff operators on central q-Morrey spaces. As applications, the sharp constants for the q-analogus of Hardy operator and its dual operator, the q-analogue of Hardy-Littlewood-Pólya ...
Mingquan Wei +3 more
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$B$-CONVEX OPERATOR SPACES [PDF]
AbstractThe notion of $B$-convexity for operator spaces, which a priori depends on a set of parameters indexed by $\sSi$, is defined. Some of the classical characterizations of this geometric notion for Banach spaces are studied in this new context. For instance, an operator space is $B_{\sSi}$-convex if and only if it has $\sSi$-subtype.
openaire +3 more sources
Bilinear Ideals in Operator Spaces [PDF]
We introduce a concept of bilinear ideal of jointly completely bounded mappings between operator spaces. In particular, we study the bilinear ideals $\mathcal{N}$ of completely nuclear, $\mathcal{I }$ of completely integral, $\mathcal{E}$ of completely ...
Dimant, Verónica +1 more
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The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the ...
Jiang Zhou, Dinghuai Wang
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Singular integral operators on tent spaces [PDF]
We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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