SCHATTEN-VON NEUMANN CHARACTERISTIC OF INFINITE TRIDIAGONAL BLOCK OPERATOR MATRICES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.2, pp.1852-1866, 2019 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 68 Issue: 2
- Publication Date: 2019
- Doi Number: 10.31801/cfsuasmas.474512
- Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.1852-1866
- Karadeniz Technical University Affiliated: Yes
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.