Results 41 to 50 of about 633 (85)
On Hilbert-Schmidt compatibility
, 2013 Guided by important examples of differential operators, we obtain sufficient conditions for Hilbert-Schmidt compatibility of operators and apply these conditions in spectral perturbation theory. Mathematics subject classification (2010): 47A55, 47B10.
D. Potapov, A. Skripka, F. Sukochev
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Abstract and Applied Analysis, Volume 1, Issue 2, Page 193-201, 1996., 1996 In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)‐spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q‐summing, absolutely continuous and q‐integral Carleson embeddings in terms of the underlying measure is our main topic. The presented
Helmut J. Heiming
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Spectrum perturbations of compact operators in a Banach space
Open Mathematics, 2019 For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
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Forum of Mathematics, Pi, 2016 For every $p\in (0,\infty )$ we associate to every metric space $(X,d_{X})$
ASSAF NAOR, GIDEON SCHECHTMAN
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Distance estimates, norm of Hankel operators and related questions
, 2018 We consider Berezin symbols and Hankel operators on the Hardy space H2(D) over the unit disc D = {z ∈ C : |z| < 1} and give their some applications. Namely, we estimate in terms of Hankel operators and Berezin symbols the distances from a given operator ...
N. Altwaijry, A. Baazeem, M. Garayev
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A note on positive $\mathcal{AN}$ operators
, 2018 We show that positive absolutely norm attaining operators can be characterized by a simple property of their spectra. This result clarifies and simplifies a result of Ramesh. As an application we characterize weighted shift operators which are absolutely
Doust, Ian
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p‐representable operators in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 653-658, 1986., 1986 Let E and F be Banach spaces. An operator T ∈ L(E, F) is called p‐representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g ∈ Lq(μ, F), , such that for all x ∈ E. The object of this paper is to investigate the class of all p‐representable operators.
Roshdi Khalil
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Cycles and 1‐Unconditional Matrices [PDF]
, 2001 We characterise the 1‐unconditional subsets (erc(r,c) ∈ I of the set of elementary matrices in the Schatten–von‐Neumann class Sp. The set of couples I must be the set of edges of a bipartite graph without cycles of even length 4 ⩽ p if p is an even ...
S. Neuwirth
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Diagonalization of a self‐adjoint operator acting on a Hilbert module
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 669-675, 1985., 1985 For each bounded self‐adjoint operator T on a Hilbert module H over an H*‐algebra A there exists a locally compact space m and a certain A‐valued measure μ such that H is isomorphic to L2(μ) ⊗ A and T corresponds to a multiplication with a continuous function. There is a similar result for a commuting family of normal operators.
Parfeny P. Saworotnow
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Open Mathematics, 2019 Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
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