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The Distance From a Point to a Compact Convex Set

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Let K be a compact convex subset of the plane and A e C\K, then dist(A,K) = ||(A - Ağ-1!!"1, where x is the Lebesgue measure concentrated on K and Nx be the multiplication operator on L2(x).
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REFERENCES

References: 

[1] J. B. Conway, Acourse in Functional Analysis, Seconded., Springer-Verlag, New York, 1985.
[2] P R. Halmos. A Hilbert space problem Book, second edition, Springer, New York, 1982.
[ 3] F. J. Narcowich. Analytic properties of the boundaryof the numerical range, Indiana Univer¬sity Mathematics Journal, 29, 67-77. 1980.

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