Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 ISMAİLOV

Pages : 1852-1866

Doi:10.31801/cfsuasmas.474512

View : 20 | Download : 12

Publication Date : 2019-08-01

Article Type : Research Paper

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

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