Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SPATIAL NUMERICAL RANGES OF ELEMENTS OF $C^*$-ALGEBRAS

  • Takahasi, Sin-Ei (Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, Japan)
  • Published : 2000.08.01
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Abstract

When A is a subalgebra of a $C^*$-algebra, the spatial numerical range of element of A can be described in terms of positive linear functionals on the $C^*$-algebra.

Keywords

References

  1. Complete Normed Algebras F.F.Bonsal;J.Dancan
  2. C*-algberas J.Dixmier
  3. Internat.J.Math.Math.Sci. v.12-4 Spatial numerical ranges of elements of Banach algebras A.K.Gaur;T.Husain
  4. Proc.Amer.Math.Soc. v.117-1 Norms on unitizations of Banach algebras A.K.Gaur;Z.V.Kovarik
  5. to appear in Internat.J.Math.Math.Sci. Spatial numerical ranges of elements of subalgebras of C。(X) S.-E.Takahasi