A NOTE FOR COMPACT OPERATORS ON INFINITE TENSOR PRODUCTS

SERTBAŞ M., YILMAZ F.

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, vol.90, no.2, pp.209-216, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 90 Issue: 2
  • Publication Date: 2021
  • Journal Name: ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.209-216
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this study, the compactness of the infinite tensor product of bounded operators defined on the infinite tensor product of Hilbert Spaces has been investigated under some conditions. Also, we prove that some compact operators have only point spectrum.