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 ...

We are concerned with the numerical solution of the eigenvalue problem Tφ = λφ, φ ≠ 0, where T is a linear operator in a Banach space. T may represent a bounded integral operator or a closed ...

In this paper, we study Birkhoff—James orthogonality of bounded linear operators and give a complete characterization of Birkhoff–James orthogonality of bounded linear operators on infinite ...

Banach space theory, with its emphasis on complete normed vector spaces, provides the natural setting for addressing problems in functional analysis, differential equations and beyond.