Results 41 to 50 of about 3,235,619 (333)

The version for compact operators of Lindenstrauss properties A and B [PDF]

, 2015
It has been very recently discovered that there are compact linear operators between Banach spaces which cannot be approximated by norm attaining operators.
Miguel Martín
semanticscholar   +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

Some properties of weak Banach-Saks operators [PDF]

Mathematica Bohemica, 2021
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact).
Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi   +2 more
doaj   +1 more source

Majorization and a Schur{Horn Theorem for positive compact operators, the nonzero kernel case [PDF]

, 2014
Schur–Horn theorems focus on determining the diagonal sequences obtainable for an operator under all possible basis changes, formally described as the range of the canonical conditional expectation of its unitary orbit.
Jireh Loreaux, G. Weiss
semanticscholar   +1 more source

Operators $\alpha $-commuting with a compact operator [PDF]

Proceedings of the American Mathematical Society, 1997
Summary: We update a question raised by Pearcy and Shields ('74) concerning the invariant subspace problem on Hilbert spaces.
openaire   +2 more sources

Collective compactness, equicompactness and the degree of nondensifiability

Applied General Topology
The degree of nondensifiability (DND) quantifies, in a specific sense, the distance between a bounded subset of a metric space and the Peano Continua it contains.
Gonzalo García
doaj   +1 more source

Nonlinear eigenvalue approximation for compact operators [PDF]

, 2014
In the work of Osborn [Math. Comput. 29, 712–725 (1975)], a general spectral approximation theory was developed for compact operators on a Banach space which does not require that the operators be self-adjoint and also provides a first order correction ...
S. Moskow
semanticscholar   +1 more source

L-weakly and M-weakly compact operators and the centre [PDF]

, 2017
We extend known results concerning the centre of spaces of regular (resp. weakly compact or compact) operators between two Banach lattices to the setting of L-weakly compact and M-weakly compact operators. We also show that the L-weakly compact, M-weakly
Wickstead, A. W., E. Bayram, A. W. Wickstead, Bayram, Erdal, Bayram, E.   +4 more
core   +1 more source

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators

Abstract and Applied Analysis, 2007
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.
A. Niknam, K. Sharifi
doaj   +1 more source

Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary

Advances in Mathematical Physics, 2020
In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary.
Sining Wei, Yong Wang
doaj   +1 more source