Research ArticleOpen accessIn the keywordsMeasurable Functional Calculi and Spectral TheoryMykola YaremenkoIn this article, the spectral theory is considered, we study the spectral families and their correspondence to the operators on the reflexive Banach spaces; assume A is a well-bounded operator on reflexive Lebesgue spaces then the operator A is a scalar type spectral operator. The main goals are to obtain the characterization of the well-bounded operators in the terms of … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 6 Jul 2022 · 6,419 accessesView PDFCite