It has been proved recently [1] that a contraction, satisfying some complementary assumptions, is similar to a normal operator if and only if its resolvent grows at most linearly towards the spectrum.

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

Let M be a von Neumann algebra and let φ be a normal linear functional on a strongly closed C*-subalgebra N of M. Denote by Fφ the set of normal linear functionals ψ on M extending φ with |ψ| = |φ|.

Fuzzy normed linear spaces extend conventional normed spaces by integrating a degree of imprecision through fuzzy set theory, thereby quantifying uncertainty in the measurement of vector magnitude. In ...