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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 29–37 (Mi vmj501)  
This article is cited in 4 scientific papers (total in 4 papers)

Trace class and Lidskiĭ trace formula on Kaplansky–Hilbert modules

U. Gönüllü

Department of Mathematics and Computer Science, İstanbul Kültür University, Bakırköy, 34156, İstanbul, TURKEY
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Abstract: In this paper, we introduce and study the concepts of the trace class operators and global eigenvalue of continuous $\Lambda$-linear operators in Kaplansky–Hilbert modules. In particular, we give a variant of Lidskiĭ trace formula for cyclically compact operators in Kaplansky–Hilbert modules.
Key words: Kaplansky–Hilbert module, cyclically compact operator, global eigenvalue, trace class, Lidskiĭ trace formula.
Received: 15.09.2013
Document Type: Article
UDC: 517.98
MSC: 47B60, 46A19, 46B99, 46L08, 47B07
Language: English
Citation: U. Gönüllü, “Trace class and Lidskiĭ trace formula on Kaplansky–Hilbert modules”, Vladikavkaz. Mat. Zh., 16:2 (2014), 29–37
Citation in format AMSBIB
\Bibitem{Gon14}
\by U.~G\"on\"ull\"u
\paper Trace class and Lidski\u\i\ trace formula on Kaplansky--Hilbert modules
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 2
\pages 29--37
\mathnet{http://mi.mathnet.ru/vmj501}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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