Results 11 to 20 of about 3,235,619 (333)
An extension of compact operators by compact operators with no nontrivial multipliers [PDF]
Journal of Noncommutative Geometry, 2016 We construct an essential extension of $\mathcal K(\ell_2({\mathfrak{c}}))$ by $\mathcal K(\ell_2)$, where ${\mathfrak{c}}$ denotes the cardinality of continuum, i.e., a $C^*$-algebra $\mathcal A\subseteq \mathcal B(\ell_2)$ satisfying the short exact ...
S. Ghasemi, P. Koszmider
semanticscholar +5 more sources
Compact-like operators in lattice-normed spaces [PDF]
, 2017 A linear operator T between two lattice-normed spaces is said to be p -compact if, for any p -bounded net x α , the net T x α has a p -convergent subnet.
A. Aydın +3 more
semanticscholar +2 more sources
Compact and limited operators [PDF]
Mathematische Nachrichten, 2021 AbstractLet be a bounded linear operator between two real normed spaces. We characterize compactness of T in terms of differentiability of the Lipschitz functions defined on X with values in another normed space Z. Furthermore, using a similar technique we can also characterize finite rank operators in terms of differentiability of a wider class of ...
Mohammed Bachir +2 more
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Lipschitz compact operators [PDF]
, 2014 We introduce the notion of Lipschitz compact (weakly compact, finite-rank, approximable) operators from a pointed metric space X into a Banach space E.
A. Jiménez-Vargas +2 more
semanticscholar +2 more sources
A new approach on Lipschitz compact operators [PDF]
, 2016 The notions of Lipschitz-free compact and Lipschitz-free weakly compact operators between metric spaces are introduced. Some nonlinear versions of Schauder's theorem and Gantmacher's theorem on compact and weakly compact linear operators are proved.
M. G. Cabrera-Padilla +1 more
semanticscholar +2 more sources
Compact covariance operators [PDF]
Proceedings of the American Mathematical Society, 1981 Let B be a real separable Banach space and R: i'->ia covariance operator. All representations of R in the form 2en ® e", (e", n > 1} c fi, are characterized. Necessary and sufficient conditions for R to be compact are ob- tained, including a generalization of Mercer's theorem. An application to character- istic functions is given. 1. Introduction.
Baker, Charles R., McKeague, Ian W.
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Low rank compact operators and Tingley's problem [PDF]
Advances in Mathematics, 2016 Let $E$ and $B$ be arbitrary weakly compact JB$^*$-triples whose unit spheres are denoted by $S(E)$ and $S(B)$, respectively. We prove that every surjective isometry $f: S(E) \to S(B)$ admits an extension to a surjective real linear isometry $T: E\to B$.
Francisco J. Fern'andez-Polo, A. Peralta
semanticscholar +1 more source
The Bishop-Phelps-Bollobàs Property for Compact Operators [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2016 We study the Bishop-Phelps-Bollobàs property $\left( \text{BPBp} \right)$ for compact operators. We present some abstract techniques that allow us to carry the $\text{BPBp}$ for compact operators from sequence spaces to function spaces.
Sheldon Dantas +3 more
semanticscholar +1 more source
Erratum to: Compactness properties for operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2009 In [ibid. 135, No. 4, 1151--1157 (2007; Zbl 1118.47029)], the authors have characterized Banach lattices such that operators dominated by AM-compact operators are AM-compact; but there was an error in the proof of this characterization. In this note, they give a new and correct proof by using a new lemma.
Aqzzouz, Belmesnaoui, Elbour, Aziz
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A Remark on the Approximation of p-Compact Operators by Finite-Rank Operators
Journal of Mathematical Analysis and Applications, 2012 Eve Oja
exaly +2 more sources