论文标题

关于Hilbert Quasi *-algebras的张量产品及其具有代表性的属性

About tensor products of Hilbert quasi *-algebras and their representability properties

论文作者

Adamo, Maria Stella

论文摘要

本说明旨在研究两个给定希尔伯特准 *代数及其性质的张量。本说明中提出的构造再次是希尔伯特Quasi * - 代数,因此在\ cite {at}中研究的有趣的可说明性属性。此外,如果两个功能分别在两个Hilbert Quasi *-ergebras上分别表示且连续,那么它们的张量也是如此。

This note aims to investigate the tensor product of two given Hilbert quasi *-algebras and its properties. The construction proposed in this note turns out to be again a Hilbert quasi *-algebra, thus interesting representability properties studed in \cite{AT} are maintained. Furthermore, if two functionals are representable and continuous respectively on the two Hilbert quasi *-algebras, then so is their tensor product.

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