On bicomplex \(\mathbb{BC}\)-modules \(l_p^\Bbbk(\mathbb{BC})\) and some of their geometric properties

DOI10.1515/gmj-2022-2194OpenAlexW4307217320MaRDI QIDQ2681211

Nilay Değirmen, Birsen Sağır

Publication date: 7 February 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2194

zbMATH Keywords

\(\mathbb{BC}\)-convexity\(\mathbb{BC}\)-strict convexity\(\mathbb{BC}\)-uniform convexity\(\mathbb{D}\)-normed Banach bicomplex \(\mathbb{BC}\)-modulebicomplex power

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

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• An introductory course in Lebesgue spaces
• Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras
• Sequence Lorentz spaces and their geometric structure
• Topological bicomplex modules
• Bicomplex Holomorphic Functions
• Some geometric properties of the non-Newtonian sequence spaces l_p (N)
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Fixed Point Theory for Lipschitzian-type Mappings with Applications

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