Continuous Jordan triple endomorphisms of \(\mathbb{P}_2\)

DOI10.1016/j.jmaa.2016.02.028zbMath1334.15089arXiv1506.06223OpenAlexW2244821968MaRDI QIDQ252902

Lajos Molnár, Dániel Virosztek

Publication date: 4 March 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06223

zbMATH Keywords

positive definite matricesisometriesfinite-dimensional effect algebrasHilbert space effectsJordan triple endomorphismssequential endomorphisms

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities ⋮ On the surjectivity of generalized isometries on the positive definite cone of matrices ⋮ On algebraic endomorphisms of the Einstein gyrogroup ⋮ The arithmetic, geometric and harmonic means in operator algebras and transformations among them ⋮ Isometries on positive definite operators with unit Fuglede-Kadison determinant ⋮ On endomorphisms of the Einstein gyrogroup in arbitrary dimension ⋮ On dissimilarities of the conventional and Kubo-Ando power means in operator algebras

Cites Work

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• Jordan triple endomorphisms and isometries of spaces of positive definite matrices
• Sequential endomorphisms of finite-dimensional Hilbert space effect algebras
• A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices

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