Schauder bases in Lipschitz free spaces over nets of \(\mathcal{L}_\infty\)-spaces
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Publication:2681977
DOI10.1007/s13398-022-01363-wOpenAlexW4310275946MaRDI QIDQ2681977
Publication date: 31 January 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.08032
Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)
Cites Work
- Unnamed Item
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- The universality of \(\ell _{1}\) as a dual space
- The uniform structure of Banach spaces
- Coefficient quantization in Banach spaces
- A class of special L//infinity spaces
- Lipschitz image of a measure-null set can have a null complement
- Some remarks on the structure of Lipschitz-free spaces
- Schauder bases in Lipschitz free spaces over nets in Banach spaces
- Some remarks on Schauder bases in Lipschitz free spaces
- The \(L_ p\) spaces
- On bases, finite dimensional decompositions and weaker structures in Banach spaces
- Banach space theory. The basis for linear and nonlinear analysis
- ON THE STRUCTURE OF SEPARABLE ‐SPACES
- A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
- Lipschitz-free Banach spaces
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications