Banach subspaces of continuous functions possessing Schauder bases

DOI10.3390/math5030035zbMath1398.46011arXiv1605.09661OpenAlexW3099830970MaRDI QIDQ2413121

Sergey V. Ludkovsky

Publication date: 9 April 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09661

zbMATH Keywords

Schauder basisMüntz space

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

• On Banach spaces with the commuting bounded approximation property
• Geometry of Müntz spaces and related questions
• Duality of \(\kappa \)-normed topological vector spaces and their applications
• Schauder bases in Banach spaces of continuous functions
• Continuity, integration and Fourier theory
• On Banach spaces with bases
• Approximation in Müntz spaces \(M_{\Lambda,p}\) of \(L_p\) functions for \(1<p<\infty\) and bases
• Approximation by polynomials
• Muntz type Theorems I
• A Müntz space having no complement in 𝐿₁
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• On Banach spaces with unconditional bases
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