Characteristic Numbers of Upper Triangular One-Band Block Operator Matrices

Year 2018, Volume: 10, 173 - 177, 29.12.2018

Rukiye Öztürk Mert Pembe İpek Al Zameddin I. Ismailov

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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