Results 41 to 50 of about 2,281,033 (352)
Note on a new class of operators between some spaces of holomorphic functions
AIMS Mathematics, 2023 The boundedness and compactness of a new class of linear operators from the weighted Bergman space to the weighted-type spaces on the unit ball are characterized.
Stevo Stević
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Dynamics of a Compact Operator [PDF]
ISRN Mathematical Analysis, 2011 Let be a compact linear (or more generally affine) operator from a Banach space into itself. For each , the sequence of iterates , , 1, and its averages , 1, are either bounded or approach infinity.
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Reduced spectral synthesis and compact operator synthesis
, 2019 We introduce and study the notion of reduced spectral synthesis, which unifies the concepts of spectral synthesis and uniqueness in locally compact groups.
Shulman, V. S. +2 more
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Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets
Journal of Advanced Research in Natural and Applied SciencesThe study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and ...
Ramazan İnal, Ayşegül Keten Çopur
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Noncommutative Residues and a Characterisation of the Noncommutative Integral
, 2009 We continue the study of the relationship between Dixmier traces and noncommutative residues initiated by A. Connes. The utility of the residue approach to Dixmier traces is shown by a characterisation of the noncommutative integral in Connes ...
Lord, Steven, Sukochev, Fedor A.
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Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
, 2013 In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on compact Lie groups.
Dasgupta, Aparajita, Ruzhansky, Michael
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Compact composition operators on the Dirichlet space and capacity of sets of contact points [PDF]
, 2012 In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space such that the associated composition operator is in all Schatten classes (of ...
Lefèvre, Pascal +3 more
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Invariant subspace problem and compact operators on non-Archimedean Banach spaces
Extracta Mathematicae, 2020 In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact operators on an infinite-dimensional Banach space E over a nontrivial complete non-Archimedean valued field K.
M. Babahmed, Azzedine El asri
doaj
Compact and weakly compact Lipschitz operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 Any Lipschitz map $f : M \to N$ between two pointed metric spaces may be extended in a unique way to a bounded linear operator $\widehat {f} : \mathcal {F}(M) \to \mathcal {F}(N)$ between their corresponding Lipschitz-free spaces. In this paper, we give a necessary and sufficient condition for $\widehat {f}$ to be compact in terms of metric conditions ...
Abbar, Arafat +2 more
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Compact operators in TRO’s [PDF]
Proceedings of the American Mathematical Society, 2012 We give a geometric characterization of the elements of a TRO that can be represented as compact operators by a faithful representation of the TRO.
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