Operator Spaces and Convolution of Multilinear Forms

Authors

Professor Bert Schreiber, Department of Mathematics, Wayne State University

Document Type

Presentation Abstract

Presentation Date

3-15-2000

Abstract

The theory of operator spaces and completely bounded maps is receiving a great deal of attention at present as a new category for the study of Functional Analysis. This area, whose key ideas come from the theory of operator algebras, allows for the extension of many results known for bilinear maps to multilinear maps of the appropriate type. We will present they key concepts and then apply them to a problem in Harmonic Analysis. Namely, given a finite collection of locally compact groups G, H, . . . , K, we will describe how they Banach space of completely bounded, complex-valued multilinear forms on the product C_O(G) x . . . x C_O(K) can be given the structure of a convolution Banach algebra, extending the classical convolution of measures on G x . . . x K.

Additional Details

Wednesday, 15 March 2000
3:10 p.m. in Math 311
Coffee/treats at 2:30 p.m. Math 104 (lounge)

Recommended Citation

Schreiber, Professor Bert, "Operator Spaces and Convolution of Multilinear Forms" (2000). Colloquia of the Department of Mathematical Sciences. 59.
https://scholarworks.umt.edu/mathcolloquia/59