Continuous linear operators on Orlicz-Bochner spaces

M Nowak - Open Mathematics, 2019 - degruyter.com
Abstract Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y
be Banach spaces. Let Lφ (X) denote the corresponding Orlicz-Bochner space and T φ∧ …

Nuclear operators on the Banach space of vector-valued essentially bounded measurable functions

M Nowak - Proceedings of the American Mathematical Society, 2023 - ams.org
Let $(\Omega,\Sigma,\mu) $ be a finite measure space and $\mathcal {N}(X, Y) $ stand for
the Banach space of all nuclear operators between Banach spaces $ X $ and $ Y …

Integral representation of linear operators on Orlicz-Bochner spaces

K Feledziak, M Nowak - Collectanea mathematica, 2010 - Springer
Abstract Let (Ω, Σ, μ) be a σ-finite measure space and let L (X, Y) stand for the space of all
bounded linear operators between Banach spaces (X;‖•‖ X) and (Y;‖•‖ Y). We study the …

[PDF][PDF] Linear operators on vector-valued function spaces with Mackey topologies

M Nowak - Journal of Convex Analysis, 2008 - heldermann-verlag.de
Let E be an ideal of L0 over a σ-finite measure space (Ω, Σ, µ) and let E′ be the Köthe dual
of E. Let (X,· X) be a real Banach space, and X∗ the Banach dual of X. Let E (X) be a …

Integration in Orlicz‐Bochner Spaces

M Nowak - Journal of Function Spaces, 2018 - Wiley Online Library
Let (Ω, Σ, μ) be a complete σ‐finite measure space, φ be a Young function, and X and Y be
Banach spaces. Let Lφ (X) denote the Orlicz‐Bochner space, and T φ∧ denote the finest …

[PDF][PDF] Dunford–Pettis operators on the space of Bochner integrable functions

M Nowak - Banach Center Publications, 2011 - researchgate.net
Let (Ω, Σ, µ) be a finite measure space and let X be a real Banach space. Let LΦ (X) be the
Orlicz–Bochner space defined by a Young function Φ. We study the relationships between …

Operator-valued measures and linear operators

M Nowak - Journal of mathematical analysis and applications, 2008 - Elsevier
We study operator-valued measures m: Σ→ L (X, Y), where L (X, Y) stands for the space of
all continuous linear operators between real Banach spaces X and Y and Σ is a σ-algebra of …

[PDF][PDF] Bochner representable operators on Köthe-Bochner spaces

M Nowak - Commentationes Mathematicae, 2008 - bibliotekanauki.pl
Let E be a Banach function space and X be a real Banach space. We study Bochner
representable operators from a Köthe-Bochner space E(X) to a Banach space Y. We …

Yosida–Hewitt type decompositions for weakly compact operators and operator-valued measures

M Nowak - Journal of mathematical analysis and applications, 2007 - Elsevier
Yosida–Hewitt type decompositions for weakly compact operators and operator-valued measures
Page 1 J. Math. Anal. Appl. 336 (2007) 93–100 www.elsevier.com/locate/jmaa Yosida–Hewitt …

Mackey topologies on vector-valued function spaces

M Nowak - Zeitschrift für Analysis und ihre Anwendungen, 2005 - ems.press
Let E be an ideal of L0 over a σ-finite measure space (Ω, Σ, µ), and let (X,· X) be a real
Banach space. Let E (X) be a subspace of the space L0 (X) of µ-equivalence classes of all …