Results 21 to 30 of about 633 (85)
Uniformly summing sets of operators on spaces of continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3397-3407, 2004., 2004 Let X and Y be Banach spaces. A set ℳ of 1‐summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1‐summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in T ∈ ℳ. We study some general properties and obtain a characterization of these sets when ℳ is a set of operators defined on spaces ...
J. M. Delgado, Cándido Piñeiro
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Some versions of Anderson′s and Maher′s inequalities I
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3281-3297, 2003., 2003 We prove the orthogonality (in the sense of Birkhoff) of the range and the kernel of an important class of elementary operators with respect to the Schatten p‐class.
Salah Mecheri
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+)\msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz
Das Namita, Behera Jitendra Kumar
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Spectrally two-uniform frames for erasures
, 2015 We continue to work on the problem of characterizing erasure-optimal frames when spectral radius is used as a measurement of the error operator. Spectrally optimal (N,n) -frames for one erasures are the ones that the minimal spectral error n/N can be ...
Saliha Pehlivan, D. Han, R. Mohapatra
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Some versions of Anderson′s and Maher′s inequalities II
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3355-3372, 2003., 2003 We are interested in the investigation of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel.
Salah Mecheri
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On operators satisfying an inequality
Journal of Inequalities and Applications, 2012 An operator T is said to be k-quasi-∗-class A if T∗k(|T2|−|T∗|2)Tk≥0, where k is a natural number. Let dA,B∈B(B(H)) denote either the generalized derivation δA,B=LA−RB or the elementary operator ΔA,B=LARB−I, where LA and RB are the left and right ...
S. Mécheri
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Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets
, 1999 This work deals with various questions concerning Fourier multipliers on L, Schur multipliers on the Schatten class S as well as their completely bounded versions when L and S are viewed as operator spaces.
A. Harcharras
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Generalized derivation modulo the ideal of all compact operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002 We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
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A Gr\"uss type operator inequality [PDF]
, 2016 In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional.
Bottazzi, Tamara, Conde, Cristian
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A note on uniformly dominated sets of summing operators
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 307-312, 2002., 2002 Let Y be a Banach space that has no finite cotype and p a real number satisfying 1 ≤ p < ∞. We prove that a set ℳ ⊂ Πp(X, Y) is uniformly dominated if and only if there exists a constant C > 0 such that, for every finite set {(xi, Ti) : i = 1, …, n} ⊂ X × ℳ, there is an operator T ∈ Πp(X, Y) satisfying πp(T) ≤ C and ‖Tixi‖ ≤ ‖Txi‖ for i = 1, …, n.
J. M. Delgado, C. Piñeiro
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