Boyadzhiev, Khristo N. Logarithms and imaginary powers of operators on Hilbert spaces. (English) Zbl 0819.47018 Collect. Math. 45, No. 3, 287-300 (1994). Summary: We provide a necessary and sufficient condition for the existence of bounded imaginary powers of certain Hilbert space operators and study the growth of \(\| A^{it}\|\) when \(| t|\to\infty\). Cited in 3 ReviewsCited in 5 Documents MSC: 47A60 Functional calculus for linear operators Keywords:existence of bounded imaginary powers of certain Hilbert space operators PDFBibTeX XMLCite \textit{K. N. Boyadzhiev}, Collect. Math. 45, No. 3, 287--300 (1994; Zbl 0819.47018) Full Text: EuDML