Spectrum of infinite block matrices and pi-triangular operators
نویسندگان
چکیده
The paper deals with infinite block matrices having compact off diagonal parts. Bounds for the spectrum are established and estimates for the norm of the resolvent are proposed. Applications to matrix integral operators are also discussed. The main tool is the π-triangular operators defined in the paper.
منابع مشابه
Ela Spectrum of Infinite Block Matrices
The paper deals with infinite block matrices having compact off diagonal parts. Bounds for the spectrum are established and estimates for the norm of the resolvent are proposed. Applications to matrix integral operators are also discussed. The main tool is the π-triangular operators defined in the paper.
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تاریخ انتشار 2017