The Mosaic and Principal Function of a Subnormal Operator |
| |
| Authors: | Jim Gleason C. Ray Rosentrater |
| |
| Affiliation: | (1) Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300, USA;(2) Westmont College, Santa Barbara, CA 93108, USA |
| |
| Abstract: | In this paper, we use the mosaic of a subnormal operator given by Daoxing Xia to give an alternate definition of the Pincus principal function for pure subnormal operators. This allows us to provide much simplified proofs of some of the basic properties of the principal function and of the Carey-Helton-Howe-Pincus Theorem in the subnormal case. |
| |
| Keywords: | Primary 47B20 Secondary 47A56 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
