Skip to main content
Skip to main menu Skip to spotlight region Skip to secondary region Skip to UGA region Skip to Tertiary region Skip to Quaternary region Skip to unit footer


Colloquium- An Introduction to Quantized Function Spaces and Algebras

Boyd Graduate Studies Research Center #303
David Blecher
University of Houston

Abstract:  This talk is aimed at a general mathematical audience.  We begin by reviewing some mathematical history around some important ideas of von Neumann, and how they fit into the stream of mathematics.  We then review some general techniques for dealing with spaces and algebras of Hilbert space operators, that is, with the ‘quantum analogue’ of functions and function spaces and algebras. There will be an emphasis on the theories of operator spaces, positivity, etc.   We will also mention two new theories we have been developing:  1). A generalization of the theory of operator algebras called Jordan operator algebras, joint work with Z. Wang and M. Neal. 2). A generalization of the theory of operator positivity, and its use in operator algebras, to more general algebras (eg. Banach algebras, nonselfadjoint operator algebras, etc)

Support us

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience. Click here to learn more about giving.

Every dollar given has a direct impact upon our students and faculty.