Strengthened Berezansky's theorem on the tensor product of operators

UDC 517.98 We prove a strengthened version of Berezansky's theorem on the tensor product of linear continuous operators in separable Hilbert spaces, as well as a corollary of this theorem on the embedding of tensor products of Hilbert spaces.

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Datum:2026
Hauptverfasser: Kachanovsky, N., Качановський, Микола
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9552
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.98 We prove a strengthened version of Berezansky's theorem on the tensor product of linear continuous operators in separable Hilbert spaces, as well as a corollary of this theorem on the embedding of tensor products of Hilbert spaces.
DOI:10.3842/umzh.v78i5-6.9552