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 ...

Journal of Operator Theory, Vol. 48, No. 1 (Summer 2002), pp. 151-186 (36 pages) Motivated by recent developments in the theory of quantum groups, some classes of q-deformed operators (q-normal, ...

In this paper we show that binormal operators have nearest normal approximants. In fact, we exhibit nearest normals to such operators and, as a corollary, show that the hermitian part of a binormal ...

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 ...