Results 21 to 30 of about 521,948 (283)
Ordered Involutive Operator Spaces [PDF]
Positivity, 2007 This is a companion to recent papers of the authors; here we construct the `noncommutative Shilov boundary' of a (possibly nonunital) selfadjoint ordered space of Hilbert space operators. The morphisms in the universal property of the boundary preserve order.
Blecher, David P. +3 more
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Continuous-Like Linear Operators on Bilinear Spaces
Journal of Mathematical and Fundamental Sciences, 2020 This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah +2 more
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Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
Communications in Advanced Mathematical Sciences, 2022 In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
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Transitive Spaces of Operators [PDF]
Integral Equations and Operator Theory, 2008 We investigate algebraic and topological transitivity and, more generally, k-transitivity for linear spaces of operators. In finite dimensions, we determine minimal dimensions of k-transitive spaces for every k, and find relations between the degree of transitivity of a product or tensor product on the one hand and those of the factors on the other. We
Davidson, K. R. +2 more
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Open Mathematics, 2015 In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
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Journal of Harbin University of Science and Technology, 2018 To study some geometric properties of Banach space operator，the definitions of the β-operator and weak β-operator were given，and the properties of the β-operator and weak β-operator were discussed.
FAN Li-ying +3 more
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Herz-Type Hardy Spaces Associated with Operators
Journal of Function Spaces, 2018 Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
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Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space
International Journal of Analysis and Applications, 2023 The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα ...
M. A. Bakhit +5 more
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Polynomials in operator space theory: matrix ordering and algebraic aspects
, 2017 We extend the $\lambda$-theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to matrix ordered spaces and Banach $*$-algebras. Given matrix regular
Kumar, Ajay +2 more
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Analytic Morrey Spaces and Bloch-Type Spaces
Journal of Function Spaces, 2018 This paper is devoted to characterizing the boundedness of the Riemann-Stieltjes operators from analytic Morrey spaces to Bloch-type spaces. Moreover, the boundedness of the superposition operator and weighted composition operator on analytic Morrey ...
Ofori Samuel, Jianfei Wang, Yile Zhao
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