Results 71 to 80 of about 522,225 (183)

Matrix Regular Operator Spaces

Journal of Functional Analysis, 1998
A norm on an ordered real Banach space \(E\) is called regular (or Riesz norm) if \(-x\leq y\leq x\) implies \(\| y\|\leq\| x\|\), and \(\| y\|< 1\) implies the existence of \(x\in E\) with \(\| x\|< 1\) and \(-x\leq y\leq x\). This concept is generalized to matrix ordered complex operator spaces [as introduced by \textit{M.-D. Choi} and \textit{E.
openaire   +1 more source

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Abstract and Applied Analysis, 2008
We estimate the essential norm of a compact weighted composition operator 𝑢𝐶𝜑 acting between different Hardy spaces of the unit ball in ℂ𝑁. Also we will discuss a compact multiplication operator between Hardy spaces.
Sei-Ichiro Ueki, Luo Luo
doaj   +1 more source

Interpolation of Operator Spaces

Journal of Functional Analysis, 1996
The author develops a theory of real interpolation for operator spaces. The theory presented is a counterpart to \textit{G. Pisier's} recent work on a complex interpolation theory for operator spaces [``The operator Hilbert space OH, complex interpolation and tensor norms'', Mem. Am. Math. Soc. 585, 103 p. (1996)].
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Quasi-multipliers of operator spaces

Journal of Functional Analysis, 2004
We use the injective envelope to study quasimultipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are induced by quasimultipliers. We obtain generalizations of the Banach-Stone theorem.
Kaneda, Masayoshi, I. Paulsen, Vern
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On the small scale nonlinear theory of operator spaces

Comptes Rendus. Mathématique
We initiate the study of the small scale geometry of operator spaces. The authors have previously shown that a map between operator spaces which is completely coarse (that is, the sequence of its amplifications is equi-coarse) must be $\mathbb{R}$-linear.
Braga, Bruno M., Chávez-Domínguez, Javier Alejandro   +1 more
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Precompact Sets, Boundedness, and Compactness of Commutators for Singular Integrals in Variable Morrey Spaces

Journal of Function Spaces, 2017
We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.
Wei Wang, Jingshi Xu
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Succinctness in subsystems of the spatial mu-calculus

, 2017
In this paper we systematically explore questions of succinctness in modal logics employed in spatial reasoning. We show that the closure operator, despite being less expressive, is exponentially more succinct than the limit-point operator, and that the $
Fernández-Duque, David, Iliev, Petar
core  

Another closure operator on preneighbourhood spaces [PDF]

Categories and General Algebraic Structures with Applications
The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature.
Partha Ghosh
doaj   +1 more source

Operator-space Grothendieck inequalities for noncommutative Lp-spaces [PDF]

Duke Mathematical Journal, 2006
We prove the operator space Grothendieck inequality for bilinear forms on subspaces of noncommutative $L_p$-spaces with ...
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Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces

Abstract and Applied Analysis, 2010
We consider the generalized shift operator, associated with the Dunkl operator Λ𝛼(𝑓)(𝑥)=(𝑑/𝑑𝑥)𝑓(𝑥)+((2𝛼+1)/𝑥)((𝑓(𝑥)−𝑓(−𝑥))/2), 𝛼>−1/2. We study the boundedness of the Dunkl-type fractional maximal operator 𝑀𝛽 in the Dunkl-type Morrey space 𝐿𝑝,𝜆,𝛼(ℝ), 0 ...
Emin Guliyev, Ahmet Eroglu, Yagub Mammadov   +2 more
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