Citation
Bj. Cole et J. Wermer, Ando's theorem and sums of squares, INDI MATH J, 48(3), 1999, pp. 767-791
Citations number
11
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518
→ ACNP
Volume
48
Issue
3
Year of publication
1999
Pages
767 - 791
Database
ISI
SICI code
0022-2518(199923)48:3<767:ATASOS>2.0.ZU;2-D
Abstract
In this paper we first prove certain formulas concerning rational inner fun
ctions in one and two complex variables, and then use these formulas to giv
e operator theoretic consequences, in particular Ando's inequality for two
commuting contractions on Hilbert space.
The work in this paper is closely related to earlier work by Jim Agler in [
Ag-1], [Ag-2], [Ag-3].