A characterization of nuclear operators on spaces of vector-valued continuous functions with the strict topology

J Stochmal - Proceedings of the American Mathematical Society, 2024 - ams.org
Let $ X $ be a completely regular Hausdorff space, let $ E $ and $ F $ denote Banach
spaces. Let $ C_b (X, E) $ denote the space of $ E $-valued bounded continuous functions …

Nuclear operators and applications to kernel operators

M Nowak - Mathematische Nachrichten, 2023 - Wiley Online Library
Let Σ be a σ‐algebra of subsets of a set Ω and B (Σ) B(Σ) be the Banach lattice of bounded Σ‐
measurable real functions on Ω. For a Banach space E, we establish the relationship …

Integral representation of continuous operators with respect to strict topologies

M Nowak - Results in Mathematics, 2017 - Springer
Abstract Let\, X\, X be a completely regular Hausdorff space and\, B o\, B o be the σ σ-
algebra of Borel sets in X. Let C_b (X) C b (X)(resp. B (B o) B (B o)) be the space of all …

Nuclear operators on Cb(X, E) and the strict topology

M Nowak, J Stochmal - Mathematica Slovaca, 2018 - degruyter.com
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb (X, E) be
the space of all E-valued bounded, continuous functions on X, equipped with the natural …

Nuclear tight operators on spaces of continuous functions

M Nowak - Proceedings of the American Mathematical Society, 2022 - ams.org
Let $ C_b (X) $ denote the Banach space of all bounded continuous real-valued functions
on a completely regular Hausdorff space $ X $. We characterize nuclear tight operators $ T …

Characterizations of continuous operators on with the strict topology

M Nowak, J Stochmal - Annals of Functional Analysis, 2021 - Springer
Let X be a completely regular Hausdorff space and C_b (X) C b (X) be the space of all
bounded continuous functions on X, equipped with the strict topology β β. We study some …

[HTML][HTML] Completely continuous operators and the strict topology

M Nowak - Indagationes Mathematicae, 2017 - Elsevier
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let C b (X, E) be
the space of all E-valued bounded continuous functions on X, equipped with the strict …

Extension of continuous linear operators on Cb(X, E)

J Stochmal - Quaestiones Mathematicae, 2022 - Taylor & Francis
Let X be a completely regular Hausdorff space and E be a Banach space. Let Cb (X, E)(resp.
L∞(Bo, E)) be the space of all bounded continuous (resp. bounded strongly Borel …

Dominated operators, absolutely summing operators and the strict topology

M Nowak, J Stochmal - Quaestiones Mathematicae, 2017 - Taylor & Francis
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb (X, E) be
the space of all E-valued bounded continuous functions on X, equipped with the strict …

[PDF][PDF] Weakly precompact operators on with the strict topology

J Stochmal - Discussiones Mathematicae, Differential Inclusions …, 2016 - bibliotekanauki.pl
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let C_b(X,E) be
the space of all E-valued bounded continuous functions on X, equipped with the strict …