Polarization identities

DOI10.1016/j.laa.2023.02.006OpenAlexW4319971619MaRDI QIDQ2693710

Debraj Chakrabarti, Chase Bender

Publication date: 24 March 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12014

zbMATH Keywords

Hermitian formspolarization identities

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Quadratic and bilinear forms, inner products (15A63)

Cites Work

• The spectral theorem in quaternions
• On quadratic and sesquilinear functionals
• Polarization formulas over separable algebras
• On inner products in linear, metric spaces
• Some Functional Equations in Banach Algebras and an Application
• A polarization formula for clifford modules
• Quadratic functionals on modules over *-rings
• Quadratic functionals on modules over alternative *-rings
• On the Theory of Automorphic Functions of a Matrix Variable, II-The Classification of Hypercircles Under the Symplectic Group
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