«compact operator»
۱۵٬۵۲۱ نتیجهRealizing Irreducible Semigroups and Real Algebras of Compact Operators
Let B(X) be the algebra of bounded operators on a complex Banach space X. Viewing B(X) as an algebra over R, we study the structure of those irreducible subalgebras which contain nonzero compact operators. In particular, irreducible algebras of trace-class operators with real tra
The Atkinson Theorem in Hilbert C-modules over C-algebras of Compact Operators
In this paper the concept of unbounded Fredholm operators on Hilbert C∗modules over an arbitrary C∗-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C∗-modules over C∗-algebras of compact operators. In the frame
Compact Operators on Hilbert Space
Among all linear operators on Hilbert spaces, the compact ones (defined below) are the simplest, and most imitate the more familiar linear algebra of finite-dimensional operator theory. In addition, these are of considerable practical value and importance. We prove a spectral the
On Certain Extension Properties for the Space of Compact Operators
Let Z be a fixed separable operator space, X ⊂ Y general separable operator spaces, and T : X → Z a completely bounded map. Z is said to have the Complete Separable Extension Property (CSEP) if every such map admits a completely bounded extension to Y ; the Mixed Separable Extens
On the Closure of the Complex Symmetric Operators: Compact Operators and Weighted Shifts
We study the closure CSO of the set CSO of all complex symmetric operators on a separable, infinite-dimensional, complex Hilbert space. Among other things, we prove that every compact operator in CSO is complex symmetric. Using a construction of Kakutani as motivation, we also de
An Approximation Property Related to M -ideals of Compact Operators
We investigate a variant of the compact metric approximation property which, for subspaces X of c0 , is known to be equivalent to K(X), the space of compact operators on X , being an A/-ideal in the space of bounded operators on X , L{X). Among other things, it is shown that an a
On the class of order L-weakly and order M-weakly compact operators
In this paper, we introduce and study new concepts of order L-weakly M-weakly compact operators. As consequences, obtain some characterizations Banach lattices with continuous norms or whose topological duals have norms. It is proved that if $$T:E \longrightarrow F$$ an operator
Characterization of compact operators between certain BK spaces
We give a survey of the known results concerning the sets c0(Λ), c(Λ) and c∞(Λ) including their basic topological properties, their first and second dual spaces, and the characterizations of matrix transformations from them into the spaces l∞, c and c0. Furthermore, we establish
Factoring Weakly Compact Operators and the Inhomogeneous Cauchy Problem
By using the technique of factoring weakly compact operators through reflexive Banach spaces we prove that a class of ordinary differential equations with Lipschitz continuous perturbations has a strong solution when the problem is governed by a closed linear operator generating
Injective and Projective Hilbert C*-modules, and C*-algebras of Compact Operators
We consider projectivity and injectivity of Hilbert C*-modules in the categories of Hilbert C*-(bi-)modules over a fixed C*-algebra of coefficients (and another fixed C*-algebra represented as bounded module operators) and bounded (bi-)module morphisms, either necessarily adjoint