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
core +1 more source
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
core +3 more sources
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
doaj +1 more source
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.
core +1 more source
Bounds on the negative eigenvalues of Laplacians on finite metric graphs [PDF]
, 2013 For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived.
Hussein, Amru
core +1 more source
New Characterizations of the Jeribi Essential Spectrum
International Journal of Analysis and Applications, 2023 In this paper, we give several characterizations of the Jeribi essential spectrum of a bounded linear operator defined on a Banach space by using the notion of almost weakly compact operators.
Belabbaci Chafika
doaj +1 more source
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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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
Equivalence after extension for compact operators on Banach spaces
, 2015 In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after extension implies equivalence after one-sided extension.
Messerschmidt, Miek +2 more
core +1 more source
Mechanisms of parasite‐mediated disruption of brain vessels
FEBS Letters, EarlyView.Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira +3 more
wiley +1 more source