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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 29–37
(Mi vmj501)
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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
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
Citation:
U. Gönüllü, “Trace class and Lidskiĭ trace formula on Kaplansky–Hilbert modules”, Vladikavkaz. Mat. Zh., 16:2 (2014), 29–37
Linking options:
https://www.mathnet.ru/eng/vmj501 https://www.mathnet.ru/eng/vmj/v16/i2/p29
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Abstract page: | 249 | Full-text PDF : | 76 | References: | 40 |
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