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A note for compact operators on infinite tensor products. (English) Zbl 07455889

The notion of infinite tensor product has been studied by John von Neumann, Nagakami, Reed, Guichardet and others. The aim of the present note is to study when an infinite tensor product of operators is compact.

MSC:

47B07 Linear operators defined by compactness properties
47A80 Tensor products of linear operators
46M05 Tensor products in functional analysis

References:

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[20] M. Sertbaş, Karadeniz Technical University, Faculty of Sciences, Department of Mathematics, 61080, Trabzon, Turkey, e-mail: m.erolsertbas@gmail.com
[21] F. Yilmaz, Karadeniz Technical University, Graduate Institute of Natural and Applied Sciences, 61080, Trabzon, Turkey, e-mail: fatih.yilmaz@ktu.edu.tr
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