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The minimum modulus of a linear map in operator spaces

계승혁
대한수학회 (The Korean Mathematical Society)|2008.10|대한수학회논문집 (Communications of the KMS)|제23권 제4호|pp. 541-548

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참고문헌

키워드

minimum modulusisometriesquotient mapsoperator spaces
주제분류수학

초록

For a completely bounded linear maps between operator spaces, we introduce numbers which measure the degree of injectivity and surjectivity. The number measuring the injectivity is an operator space analogue of the minimum modulus of a linear map in normed spaces.

Abstract

For a completely bounded linear maps between operator spaces, we introduce numbers which measure the degree of injectivity and surjectivity. The number measuring the injectivity is an operator space analogue of the minimum modulus of a linear map in normed spaces.

참고문헌 (11)

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  3. E. G. Effros, "Operator Spaces", London Math. Soc. Monograph N. S, 23 (2000)
  4. E. G. Effros, "Operator analogues of locally convex spaces", Operator Algebras and Applications, pp.163~207 (1997)
  5. H. A. Gindler, "The minimum modulus of a linear operator and its use in spectral theory", Studia Math, 22, pp.15~41 (1962)
  6. S. Goldberg, "Unbounded Linear Operators: Theory and Applications" (1966), McGraw-Hill
  7. I. S. Hwang, "The reduced minimum modulus of operators", J. Math. Anal. Appl, 267, pp.679~694 (2002)
  8. T.Kato, "Perturbation Theory for Linear Operators" (1966), Springer-Verlag
  9. S.-H. Kye, "On the local lifting property for operator spaces", J. Funct. Anal, 168, pp.355~379 (1999)
  10. G. Pisier, "Introduction to Operator Space Theory", London Math. Soc. Lecture. Note Ser, 294 (2003), Cambridge.Univ.Press
  11. Z.-J. Ruan, "Subspaces of C∗-algebras", J. Funct. Anal, 76, pp.217~230 (1988)

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