Essential normality of some classes of operators in tensor products of Hilbert spaces

• Datum: 1994
• Hauptverfasser: Livinskii, V. O., Лівінський, В. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5679
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish general criteria for the domains of definition of spectral integrals to be essential. On the basis of these criteria, we prove that some classes of operators are essentially normal in tensor products of Hilbert spaces.