The p-Gelfand–Phillips property in spaces of operators and Dunford–Pettis like sets
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0836-5
Abstract: The p-Gelfand–Phillips property (1 $${\leq}$$ ≤p < ∞) is studied in spaces of operators. Dunford–Pettis type like sets are studied in Banach spaces. We discuss Banach spaces X with the property that every p-convergent operator… read more here.
Keywords: operators dunford; phillips property; spaces operators; gelfand phillips ... See more keywords
Existence of indecomposable members in indecomposable spaces of operators
Sign Up to like & getrecommendations! Published in 2018 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1686-0
Abstract: In this paper we prove that if S is a set of operators acting on a separable Lp-space X, 1 ≤ p < ∞ (or, more generally, on any separable Köthe function space) such that… read more here.
Keywords: indecomposable spaces; spaces operators; existence indecomposable; indecomposable members ... See more keywords
Operators Birkhoff–James Orthogonal to Spaces of Operators
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2021.1952429
Abstract: Abstract Let be the space of bounded linear operators between real Banach spaces X, Y. For a closed subspace we partially solve the operator version of Birkhoff–James orthogonality problem, if is orthogonal to when does… read more here.
Keywords: orthogonal spaces; spaces operators; optimization; operators birkhoff ... See more keywords