Gateaux differentiability in the Banach space of meromorphic functions

DOI10.1007/S11785-024-01622-1MaRDI QIDQ6640708

Debmalya Sain, Sanjay Mallick

Publication date: 20 November 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

analytic functionsmeromorphic functionsBirkhoff-James orthogonalityGateaux differentiability

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

• On spaces of meromorphic functions
• Exposed and smooth points of some classes of operation in \(L(\ell^ p)\)
• Norm derivatives on spaces of operators
• Orthogonality of bilinear forms and application to matrices
• On the metric geometry of ideals of operators on Hilbert space
• Orthogonality in linear metric spaces.
• Geometry of sub-algebras of \(\mathcal{H}\mathrm{ol}(\Gamma \cup \mathrm{Int}(\Gamma))\) and zeros of holomorphic functions
• Blaschke Products with Prescribed Radial Limits
• Smoothness and norm attainment of bounded bilinear operators between Banach spaces
• A complete characterization of smoothness in the space of bounded linear operators
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Birkhoff-James orthogonality and its local symmetry in some sequence spaces

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