Results 31 to 40 of about 2,502,258 (319)

Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

open access: yesDemonstratio Mathematica, 2022
Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya   +2 more
doaj   +1 more source

Approximating compact and weakly compact operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
REMARKS. To place the theorem in context consider all operators as mapping the Banach space X into the Banach space Y and consider the topology a to be that of almost uniform convergence on the unit ball of X utilizing the norm topology on Y. The second theorem gives a similar result for weakly compact operators.
openaire   +1 more source

KARAKTERISTIK OPERATOR PARANORMAL- * QUASI

open access: yesJurnal Lebesgue, 2022
Given Hilbert space  H  over the fields of  . This study aimed to investigate the paranormal- * quasi operators and their properties in Hilbert space.
Gunawan Gunawan, Erni Widiyastuti
doaj   +1 more source

Compact composition operators on the Dirichlet space and capacity of sets of contact points [PDF]

open access: yes, 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

Some special characterisations of Fredholm operators in Banach space

open access: yesBibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
doaj   +3 more sources

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

open access: yesAbstract and Applied Analysis, 2008
We estimate the essential norm of a compact weighted composition operator 𝑢𝐶𝜑 acting between different Hardy spaces of the unit ball in ℂ𝑁. Also we will discuss a compact multiplication operator between Hardy spaces.
Sei-Ichiro Ueki, Luo Luo
doaj   +1 more source

Composition Operators on Classical Spaces of Analytic Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
We shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
doaj   +1 more source

Reduced spectral synthesis and compact operator synthesis

open access: yes, 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

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

open access: yesJournal of Advanced Research in Natural and Applied Sciences
The 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

Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups

open access: yes, 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
core   +1 more source

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