«compact operator»
۱۵٬۵۲۱ نتیجهCharacterizing C*-algebras of Compact Operators by Generic Categorical Properties of Hilbert C*-modules
B. Magajna and J. Schweizer showed in 1997 and 1999, respectively, that C*-algebras of compact operators can be characterized by the property that every norm-closed (and coinciding with its biorthogonal complement, resp.) submodule of every Hilbert C*-module over them is automati
Diagonalization of compact operators in Hilbert modules over finite W ∗ - algebras
It is known that a continuous family of compact operators can be diagonalized pointwise. One can consider this fact as a possibility of di-agonalization of the compact operators in Hilbert modules over a com-mutative W *-algebra. The aim of the present paper is to generalize this
Spectral properties of a non-compact operator in ecology
Ecologists have recently used integral projection models (IPMs) to study fish and other animals which continue grow throughout their lives. Such cannot shrink, since they bony skeletons; a mathematical consequence of this is that the kernel operator T unbounded, not compact. To o
Recent Developments on Sequence Spaces and Compact Operators with Applications
The aim of this special issue is to focus on recent developments and achievements in the theory of function spaces, sequences spaces and their geometry, and compact operators and their applications in various fields of applied mathematics, engineering, and other sciences. The the
Compact operators on Banach spaces: Fredholm-Riesz
1. Compact operators on Banach spaces 2. Appendix: total boundedness and Arzela-Ascoli [Fredholm 1900/1903] treated compact operators as limiting cases of finite-rank operators. [1] [Riesz 1917] defined and made direct use of the compactness condition, more apt for Banach spaces.
Diagonalization of compact operators in Hilbert modules over C-algebras of real rank zero
It is known that the classical Hilbert–Schmidt theorem can be generalized to the case of compact operators in Hilbert A-modules H∗ A over a W ∗-algebra of finite type, i.e. compact operators in H∗ A under slight restrictions can be diagonalized over A. We show that if B is a weak
A Generalized Collectively Compact Operator Theory with an Application to Integral Equations on Unbounded Domains
In this paper a generalization of collectively compact operator theory in Banach spaces is developed. A feature of the new theory is that the operators involved are no longer required to be compact in the norm topology. Instead it is required that the image of a bounded set under
Representing Completely Continuous Operators through Weakly ∞-compact Operators
Let V,W∞, andW be operator ideals of completely continuous, weakly ∞-compact, and weakly compact operators, respectively. We prove that V =W∞ ◦W−1. As an immediate application, the recent result by Dowling, Freeman, Lennard, Odell, Randrianantoanina, and Turett follows: the weak
Compact operators on Banach spaces
In this note I prove several things about compact linear operators from one Banach space to another, especially from a Banach space to itself. Some of these may things be simpler to prove for compact operators on a Hilbert space, but since often in analysis we deal with compact o
Singular Value Inequalities for Compact Operators
A singular value inequality due to Bhatia and Kittaneh says that if A and B are compact operators on a complex separable Hilbert space such that A is self-adjoint, B 0, and A B; then sj(A) sj(B B) for j = 1; 2; :::We give an equivalent inequality, which states that if A;B; and C