Results 31 to 40 of about 992,457 (282)

Extension of Compact Operators from DF-spaces to C(K) spaces

Applied General Topology, 2006
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales, Rigoberto Vera Mendoza   +1 more
doaj   +1 more source

Smooth, Compact Operators [PDF]

Proceedings of the American Mathematical Society, 1979
It is a result of Holub’s [Math. Ann. 201 (1973), 157-163], that for T a compact operator on a real Hilbert space, T is smooth
openaire   +1 more source

Compactness properties of operators dominated by AM-compact operators [PDF]

Proceedings of the American Mathematical Society, 2007
Based on work of Fremlin, the authors study the domination problem for the class of AM-compact oeprators. Let \(E\) be an arbitrary Banach lattice and let \(S\) and \(T\) be two operators from \(E\) into \(E\) such that \(0\leq S\leq T\) and \(T\) is AM-compact. Then it is shown that \(S^2\) is AM-compact.
Aqzzouz, Belmesnaoui, Nouira, Redouane, Zraoula, Larbi   +2 more
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Some special characterisations of Fredholm operators in Banach space

Bibechana, 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

An extension of compact operators by compact operators with no nontrivial multipliers [PDF]

Journal of Noncommutative Geometry, 2018
We construct a noncommutative, separably represented, type I and approximately finite dimensional C^* -algebra such that its multiplier algebra is equal to its unitization. This algebra is an essential extension of the algebra
Ghasemi, S. (Saeed), Koszmider, P.
openaire   +3 more sources

Composition Operators on Classical Spaces of Analytic Functions [PDF]

Sahand 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

KARAKTERISTIK OPERATOR PARANORMAL- * QUASI

Jurnal 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

The Bidual of the Compact Operators [PDF]

Transactions of the American Mathematical Society, 1985
For a Banach space X, let \(X^*\) be the dual, B(X) the Banach algebra of bounded linear operators, and \(B_ F(X)\), \(B_ K(X)\) and \(B_ I(K)\) the ideals of finite rank, compact, and integrable operators, respectivly. \textit{A. Grothendieck} [Mem. Am. Math. Soc. 16, 140 p.
openaire   +2 more sources

Operator valued Dirichlet problem in the plane [PDF]

, 2012
We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulate the Perron’s construction we make use of Olson’s notion of spectral order.
Göğüş, Nihat Gökhan
core   +3 more sources

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Abstract 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