A Note on Hilbert Modules
| Autor: | Abbas Sahleh, Leila Najarpisheh |
|---|---|
| Jazyk: | perština |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | پژوهشهای ریاضی, Vol 7, Iss 2, Pp 311-316 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2588-2546 2588-2554 |
| Popis: | Introduction and preliminaries Hilbert C∗-modules were firrst introduced in the work of I. Kaplansky.Hilbert C*-modules are the natural generalization that of Hilbert spaces arising by replacing of the field of scalars C by a C∗-algebra. Let us recall some basic facts about the Hilbert C∗-modules. Let A be a C∗-algebra. An right inner product A-module is a linear space X which is a right A-module (with compatible scalar multiplication: λ(x.a) =(λx).a = x.(λa) for x ∈ X, a ∈ A, λ ∈ C), together with a map (x, y)→ : X × X → A such that for all x, y, z ∈ X, a ∈ A, α, β ∈ C./files/site1/files/72/10Abstract.pdf |
| Databáze: | Directory of Open Access Journals |
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