- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices
Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices
Authors : Pembe Ipek Al, Zameddin Ismailov
Pages : 1852-1866
Doi:10.31801/cfsuasmas.474512
View : 7 | Download : 5
Publication Date : 2019-08-01
Article Type : Research
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