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 ...

This is a preview. Log in through your library . Abstract Given two (or n) isometries on a Hilbert space 𝓗, such that their ranges are mutually orthogonal, one can use them to generate a C*-algebra.

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 ...

An operator algebra is an algebra of continuous linear operators on a Hilbert space. Such algebras can be associated to a variety of problems in mathematics and mathematical physics. The study of ...

$\bullet$ Operator algebras and noncommutative geometry. $\bullet$ Structure and classification of nuclear C$^{*}$-algebras. $\bullet$ Topological dynamics. $\bullet$ Noncommutative dynamical systems.

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 ...