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Isometries and automorphisms of the spaces of spinors.

F. J. Hervés, J. M. Isidro (1992)

Revista Matemática de la Universidad Complutense de Madrid

The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.

Numerical radius inequalities for Hilbert C * -modules

Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee (2022)

Mathematica Bohemica

We present a new method for studying the numerical radius of bounded operators on Hilbert C * -modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert C * -module spaces.

The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of C * -algebras

Kazimierz Włodarczyk (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in J * -algebras. Since J * -algebras are natural generalizations of C * -algebras, B * -algebras, J C * -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.

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