Additivity of quadratic maps
type: Item
instance of: scholarly article
title: Additivity of quadratic maps
zbMATH Open document ID: 0673.46030
author: Yaakov Friedman
author: Jôsuke Hakeda
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1988-01-01T00:00:00Z
review text: Summary: The set of observables of a Quantum Mechanical System need only be closed under a ``quadratic'' product. It is shown that an additive structure of this set (whose existence is less natural) is uniquely determined by this multiplicative structure.
Mathematics Subject Classification ID: 46H70
Mathematics Subject Classification ID: 46N99
zbMATH DE Number: 4101881
zbMATH Keywords: quadratic product
zbMATH Keywords: set of observables of a Quantum Mechanical System
zbMATH Keywords: additive structure
zbMATH Keywords: multiplicative structure
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195174689
OpenAlex ID: W2045758419
cites work: Weak*-continuity of Jordan triple products and its applications.
cites work: Complete holomorphic vector fields on the second dual of Banach space.
cites work: Classification of JBW*-triple factors and applications.
cites work: Q5644611
cites work: Structure of the predual of a JBW*-triple.
cites work: Q4497420
cites work: Additivity of *-Semigroup Isomorphisms among *-Algebras
cites work: Additivity of Jordan *-maps between operator algebras
cites work: Classification of \(JBW^ *\)-triples of type I
cites work: Characterization of the predual and ideal structure of a JBW*-triple.
cites work: On an algebraic generalization of the quantum mechanical formalism
cites work: Isometries of operator algebras
cites work: A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
cites work: Compatible Peirce decompositions of Jordan triple systems
cites work: Postulates for general quantum mechanics
DOI: 10.2977/PRIMS/1195174689
description: scientific article; zbMATH DE number 4101881