SQUARE ROOT CLOSED $ C^\ast $-ALGEBRAS

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概要

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• We say that a $ C^\ast $-algebra $ A $ is approximately square root closed if any normal element in $ A $ can be approximated by a square of a normal element in $ A $. We study when $ A $ is approximately square root closed, and have an affirmative answer for AI-algebras, Goodearltype algebras over the torus, purely infinite simple unital $ C^\ast $-algebras, etc.

著者

• MATUI Hiroki

  Graduate School of Science and Technology Chiba University

• NAGISA Masaru

  Department of Mathematics and Informatics Faculty of Science Chiba University

• YAMAMOTO Munehiro

  Graduate School of Science and Technology Chiba University

• Nagisa Masaru

  Department Of Mathematics And Informatics Chiba University

• Matsui Hiroki

  Graduate School Of Bioresources Mie University

• NAGISA Masaru

  Department of Applied Mathematics Faculty of Engineering Science Osaka University

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