Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices

Abstract

In this paper, the boundedness and compactness properties of infinite tridiagonal block operator matrices in the direct sum of Hilbert spaces are studied. The necessary and sufficient conditions for these operators belong to Schatten-von Neumann class are given. Then, the results are supported by applications.

Keywords

• Direct sum of Hilbert spaces,infinite tridiagonal block operator matrices,compact operator,Schatten-von Neumann classes

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