It is proved that the vertex operator algebra V is isomorphic to the moonshine VOA V of Frenkel-Lepowsky-Meurman if it satisfies conditions (a,b,c,d) or (a',b,c,d). These conditions are: (a) V is the ...

If $T$ is an operator on a Hilbert space $\mathscr{H}$, this paper gives necessary and sufficient conditions on $T$ such that $C^\ast(T)$, the $C^\ast$-algebra ...

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 ...

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 ...

Operator algebras and functional analysis form a foundational framework in modern mathematics, interlinking abstract algebraic structures with analytic techniques to study infinite‐dimensional spaces.