Results 21 to 30 of about 1,037,100 (292)
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 +1 more
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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
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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
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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.
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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 +2 more
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Carleson Measures and Logvinenko-Sereda sets on compact manifolds [PDF]
, 2013 Given a compact Riemannian manifold $M$ of dimension $m \geq 2$, we study the space of functions of $L^2(M)$generated by eigenfunctions of eigenvalues less than $L \geq 1$ associated to the Laplace-Beltrami operator on $M$.
Bharti Pridhnani +3 more
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
Sahand Communications in Mathematical AnalysisWe 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
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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.
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A hyperbolic universal operator commuting with a compact operator
, 2022 A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces.
Carl Cowen, Eva Gallardo-Gutiérrez
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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
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