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 …

On traces of Bochner representable operators on the space of bounded measurable functions

M Nowak, J Stochmal - Proceedings of the Edinburgh Mathematical …, 2024 - cambridge.org
ON TRACES OF BOCHNER REPRESENTABLE OPERATORS ON THE SPACE OF BOUNDED
MEASURABLE FUNCTIONS Page 1 Proceedings of the Edinburgh Mathematical Society: page …

Strongly Mackey topologies and Radon vector measures

M Nowak - Portugaliae Mathematica, 2020 - ems.press
Strongly Mackey topologies and Radon vector measures Page 1 Portugal. Math. (NS)
Portugaliae Mathematica Vol. 77, Fasc. 3-4, 2020, 283–297 6 European Mathematical Society …

Vector measures and strict topologies

M Nowak - Topology and its Applications, 2012 - Elsevier
Let X be a completely regular Hausdorff space and Cb (X) be the space of all real-valued
bounded continuous functions on X, endowed with the strict topology βσ. We study …

Strict and Mackey topologies and tight vector measures

M Nowak - Quaestiones Mathematicae, 2019 - Taylor & Francis
Let B (Bo) denote the Banach algebra of all bounded Borel measurable complex functions
defined on a topological Hausdorff space X, and Bo (Bo) stand for the ideal of B (Bo) …

Mackey topologies and compactness in spaces of vector measures

M Nowak - Functiones et Approximatio Commentarii Mathematici, 2014 - projecteuclid.org
Let $\Sigma $ be a $\sigma $-algebra of subsets of a non-empty set $\Omega $. Let $ B
(\Sigma) $ be the space of all bounded $\Sigma $-measurable scalar functions defined on …

Compactness and sequential completeness in some spaces of operators

M Nowak - Positivity, 2014 - Springer
Let XX be a completely regular Hausdorff space and C_b (X) C b (X) be the Banach lattice of
all real-valued bounded continuous functions on XX, endowed with the strict topologies β …

[HTML][HTML] Extension of operators on spaces of vector-valued continuous functions

M Nowak - Indagationes Mathematicae, 2016 - Elsevier
Let X be a completely regular Hausdorff space and let B a stand for the Baire σ-algebra of
sets in X. For a Banach space E let C rc (X, E) be the space of all continuous functions f: X→ …