SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL µ

Abstract

For a complex regular Borel measure µ on Ω which is a subset of Ck, where k is a positive integer we define the Toeplitz operator Tµ on a reproducing analytic space which comtains polynomials. Using every symmetric polynomial is a polynomial of elementary polynomials, we show that if Tµ has finite rank then µ is a finite linear combination of point masses.

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