Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

SCHATTEN-VON NEUMANN CHARACTERISTIC OF INFINITE TRIDIAGONAL BLOCK OPERATOR MATRICES

SCHATTEN-VON NEUMANN CHARACTERISTIC OF INFINITE TRIDIAGONAL BLOCK OPERATOR MATRICES

Sayfa
1852–1866
DOI
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Abstract

In this paper, the boundedness and compactness properties ofinÖnite tridiagonal block operator matrices in the direct sum of Hilbert spacesare studied. The necessary and su¢ cient conditions for these operators belongto Schatten-von Neumann class are given. Then, the results are supported by applications.