Hilbert space theory and operator algebras provide a robust framework for analysing linear operators and their spectral properties, which are pivotal in both pure and applied mathematics. Hilbert ...

Banach space theory, a cornerstone of functional analysis, investigates complete normed vector spaces and the continuous linear operators acting between them. Within this framework, operator ideals ...

About the author:Martin Walter is the co-author of the chapter: " An explicit duality for finite groups" and is a professor in the Deparment of Mathematics at the University of Colorado Boulder. Book ...

Yale’s Daniel Spielman, Sterling Professor of Computer Science, professor of statistics and data science, and professor of mathematics, who helped solve a problem that had vexed mathematicians for ...

For an arbitrary Hilbert space 𝓔, the Segal–Bargmann space 𝓗(𝓔) is the reproducing kernel Hilbert space associated with the kernel K(x, y) = exp(〈x, y〉) for x, y in 𝓔. If φ : 𝓔₁ → 𝓔₂ is a ...

A theory on M-matrices is derived from simple results on inverse-positive linear operators. Some applications to eigenvalue theory and iterative procedures are discussed. The concepts occurring in ...