Optimal average approximations for functions mapping in quasi-Banach spaces

DOI10.1016/J.JFA.2013.11.015zbMath1339.26079arXiv1308.6127OpenAlexW2962956604MaRDI QIDQ2444479

José Luis Ansorena, Fernando Albiac

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6127

zbMATH Keywords

quasi-Banach spaceRiemann integraloptimal approximationfundamental theorem of calculus

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (1)

Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness

Cites Work

• Unnamed Item
• Lipschitz maps and primitives for continuous functions in quasi-Banach spaces
• Integration in quasi-Banach spaces and the fundamental theorem of calculus
• Integrationstheorie in \(p\)-normierten Räumen
• On a problem posed by M. M. Popov
• On integrability in F-spaces
• Sur les espaces métriques linéaires (I)

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