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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.

ϕ -multipliers on a class of topological algebras

Ali Naziri-Kordkandi (2022)

Mathematica Bohemica

In this paper, we generalize the concept of ϕ -multipliers on Banach algebras to a class of topological algebras. Then the characterizations of ϕ -multipliers are investigated in these algebras.

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