Orthogonality and nonlinear functionals

DOI10.1090/S0002-9904-1974-13589-5zbMath0291.46015MaRDI QIDQ4042136

D. Strawther, Stanley P. Gudder

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Nonlinear operators and their properties (47H99)

Related Items (4)

A singular behaviour of a set-valued approximate orthogonal additivity ⋮ Bibliography on quantum logics and related structures ⋮ Set-valued orthogonal additivity ⋮ Orthogonalities and functional equations

Cites Work

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• A representation theorem for certain nonlinear functionals
• Additive functionals
• A representation theorem for additive functionals
• Representation of additive and biadditive functionals
• Additive Functionals on L_p Spaces
• Classes of Semi-Inner-Product Spaces
• Representation of nonlinear transformations on 𝐿^{𝑝} spaces
• Additive functionals on Orlicz spaces
• Orthogonality and Nonlinear Functionals on Banach Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces

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