On the weak convergence of shift operators to zero on rearrangement-invariant spaces

DOI10.1007/s13163-022-00423-4OpenAlexW4220755678MaRDI QIDQ2685153

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 19 February 2023

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-022-00423-4

zbMATH Keywords

shift operatorfundamental functionlimit operatorrearrangement-invariant Banach function spaceMarcinkiewicz endpoint spacenon-separable Orlicz spaceweak convergence to zero

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Cites Work

• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Convolution operators and factorization of almost periodic matrix functions
• Foundations of symmetric spaces of measurable functions. Lorentz, Marcinkiewicz and Orlicz spaces
• Two results on rearrangement invariant spaces on an infinite interval
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• The dual of weak \(L^p\)
• Limit operators and their applications in operator theory
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Sums and intersections of symmetric operator spaces
• Interpolation of operators of weak type between rearrangement invariant function spaces
• The Banach–Saks property in rearrangement invariant spaces
• An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices
• Indices of Function Spaces and their Relationship to Interpolation
• Function Spaces
• Convex functions and their applications. A contemporary approach
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