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 ...

We introduce three concepts, called 𝐼-vector, 𝐼𝑃-vector, and 𝑃-vector, which are related to isosceles orthogonality and Pythagorean orthogonality in normed linear spaces. Having the Banach-Mazur ...

We study norms and quasi-norms having large groups of isometries (uniquely maximal and almost transitive). It is shown that a uniquely maximal norm on a Banach space is its 'best' equivalent norm with ...

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 ...