An approach to numerical ranges without Banach algebra theory

zbMath0604.46052MaRDI QIDQ1083666

R. Payá-Albert, Juan Martínez Moreno, Angel Rodriguez Palacios, Juan Francisco Mena Jurado

Publication date: 1985

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

state spacecompact convex setbounded affine functionnumerical indices of bidual spacesnumerical ranges in arbitrary Banach spaces in which a norm-one element has been selectedreal or complex numerical range spacesunital noncommutative \(JB^ *\)-algebras

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Numerical range, numerical radius (47A12) General theory of topological algebras (46H05)

Related Items (11)

Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ On different definitions of numerical range ⋮ Isometric reflections on Banach spaces after a paper of A. Skorik and A. Zaidenberg: ``On isometric reflections in Banach spaces. ⋮ On multiplicatively closed subsets of normed algebras ⋮ Geometrical properties of the product of a \(C^*\)-algebra ⋮ Banach space characterizations of unitaries: a survey ⋮ Ball remotality in Banach spaces ⋮ Weakly open sets in the unit ball of the projective tensor product of Banach spaces ⋮ Semisummands and semiideals in Banach spaces ⋮ Unnamed Item

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