Characteristic Numbers of Upper Triangular One-Band Block Operator Matrices

Abstract

In this work the boundedness and compactness properties of upper triangular one-band

block operator matrices in the innite direct sum of Hilbert spaces have been studied. We also obtain

the necessary and sucient conditions when these operators belong to Schatten-von Neumann classes.

Keywords

• Direct sum of Hilbert spaces,Upper triangular one-band block operator matrix,Compact operator

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