Generalized quasi-Banach sequence spaces and measures of noncompactness

DOI10.1590/S0001-37652013000200002zbMath1294.46006OpenAlexW2080263270MaRDI QIDQ2865806

E. B. Silva, Ljudmila I. Nikolova, Dicesar Lass Fernandez

Publication date: 3 December 2013

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200443&lng=en&nrm=iso&tlng=en

zbMATH Keywords

measures of noncompactnessinterpolation theoryquasi-Banach spacesquasi-convex functions

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) Sequence spaces (including Köthe sequence spaces) (46A45) Interpolation between normed linear spaces (46B70) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (5)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ The Banach space of quasinorms on a finite-dimensional space ⋮ Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

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• Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean
• Generalized measures of noncompactness of sets and operators in Banach spaces
• On \(\ell_{\psi}\) spaces and infinite \(\psi\)-direct sums of Banach space
• Lipschitz structure of quasi-Banach spaces
• Interpolation of bilinear operators between quasi-Banach spaces
• Solid hulls of quasi-Banach spaces of analytic functions and interpolation
• Drops in quasi-Banach spaces
• Existence of complemented subspaces isomorphic to \(l^{q}\) in quasi Banach interpolation spaces
• Reiteration theorems for real interpolation and approximation spaces
• Conditional expectations and weak and strong compactness in spaces of Bochner integrable functions
• Some remarks on \(s\)-convex functions
• Logarithmic interpolation spaces between quasi-Banach spaces
• On a class of interpolation spaces
• Interpolation d'espaces vectoriels qui ne sont ni normés, ni complets. Applications
• Weighted anisotropic product Hardy spaces and boundedness of sublinear operators
• Real interpolation of compact operators between quasi-Banach spaces
• A Maximal Description for the Real Interpolation Method in the Quasi-Banach Case.
• Compact operators between K- and J-spaces
• Boundedness of operators on Hardy spaces via atomic decompositions
• A new approach in interpolation spaces
• Interpolation of Quasi-Normed Spaces.
• Intermediate spaces and interpolation, the complex method
• Interpolation of r-Banach spaces
• Locally bounded linear topological spaces

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