Paul Halmos and Toeplitz Operators

Sheldon Axler

This paper was published in Paul Halmos: Celebrating 50 Years of Mathematics, edited by John H. Ewing and F. W. Gehring, Springer (1991), 257-263.

Abstract: Paul Halmos has written two papers and several snippets about Toeplitz operators. Another of his papers was motivated by a major result in Toeplitz operator theory. This article is the story of Halmos's work on Toeplitz operators and its influence upon the field.