The Banach spaces \(\varLambda BV\) are non-reflexive

DOI10.1016/J.JMAA.2011.11.040zbMath1247.46029OpenAlexW2316420103MaRDI QIDQ764980

Franciszek Prus-Wiśniowski, William H. Ruckle

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.040

zbMATH Keywords

reflexivitygeneralized variation

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

Orthogonal symmetries and reflections in Banach spaces ⋮ Characterization of compact linear integral operators in the space of functions of bounded variation

Cites Work

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• Concepts of generalized bounded variation and the theory of Fourier series
• Functions of generalized variation
• On Λ-bounded variation
• On convergence of Fourier series of functions of generalized bounded variation

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