On hyponormal operators in Krein spaces

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/am2019-4-249

Kevin Esmeral, O. Ferrer, Jorge Jalk, Boris Lora Castro

引用次数: 1

Abstract

. In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators T for which there exists a fundamental decomposition K = K + ⊕ K − of the Krein space K with K + and K − invariant under T .

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关于Krein空间中的次正规算子

．本文介绍了Krein空间上的次正规算子。我们给出了有界算子次正则性的条件，重点讨论了在T下K +和K−不变量的Krein空间K存在基本分解K = K +⊕K−的算子T。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.