SCHATTEN-VON NEUMANN CHARACTERISTIC OF INFINITE TRIDIAGONAL BLOCK OPERATOR MATRICES

被引：0

作者：

Al, Pembe Ipek ^{[1
]}

Ismailov, Zameddin I. ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Fac Sci, Dept Math, Trabzon, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 02期

关键词：

Direct sum of Hilbert spaces; infinite tridiagonal block operator matrices; compact operator; Schatten-von Neumann classes; SPECTRUM;

D O I：

10.31801/cfsuasmas.474512

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1852 / 1866

页数：15

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