2-LOCAL ISOMETRIES OF SOME OPERATOR ALGEBRAS

DOI Web Site 被引用文献3件

書誌事項

公開日
2002-06
権利情報
  • https://www.cambridge.org/core/terms
DOI
  • 10.1017/s0013091500000043
公開者
Cambridge University Press (CUP)

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説明

<jats:title>Abstract</jats:title><jats:p>As a consequence of the main result of the paper we obtain that every 2-local isometry of the $C^*$-algebra $B(H)$ of all bounded linear operators on a separable infinite-dimensional Hilbert space $H$ is an isometry. We have a similar statement concerning the isometries of any extension of the algebra of all compact operators by a separable commutative $C^*$-algebra. Therefore, on those $C^*$-algebras the isometries are completely determined by their local actions on the two-point subsets of the underlying algebras.</jats:p><jats:p>AMS 2000 <jats:italic>Mathematics subject classification:</jats:italic> Primary 47B49</jats:p>

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