LOCAL DESCRIPTION OF THE FREDHOLM PROPERTIES OF TOEPLITZ OPERATORS

Yu Feng LU;Feng XU

Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (1) : 19-023.

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PDF(208 KB)
Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (1) : 19-023. DOI: 10.12341/jssms09863
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LOCAL DESCRIPTION OF THE FREDHOLM PROPERTIES OF TOEPLITZ OPERATORS

  • Yu Feng LU,Feng XU
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Abstract

This paper describes the Fredholm properties of Toeplitz operators on Bergman space by using local methods and gets a local theorem which is analogous to that on Hardy space. In the meanwhile, some properties of the maximal ideal space of L~infinity(D) are discussed.

Key words

Toeplitz operators / Fredholm Properties / Localizing classes / maximal ideal spaces

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Yu Feng LU , Feng XU. LOCAL DESCRIPTION OF THE FREDHOLM PROPERTIES OF TOEPLITZ OPERATORS. Journal of Systems Science and Mathematical Sciences, 1999, 19(1): 19-023 https://doi.org/10.12341/jssms09863
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