Banach spaces of fractal functions and trajectories of Brownian motions

DOI10.1134/S1064562408050153zbMath1195.46015OpenAlexW2064121637MaRDI QIDQ1048497

A. N. Agadzhanov

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408050153

zbMATH Keywords

nowhere differentiable functionsspaceability

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

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• On the uniform convexity and uniform smoothness of infinite-order Sobolev spaces
• An almost nowhere Fréchet smooth norm on superreflexive spaces
• Isometrical embeddings of separable Banach spaces into the set of nowhere approximatively differentiable and nowhere Hölder functions
• Every Separable Banach Space is Isometric to a Space of Continuous Nowhere Differentiable Functions

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