Adjoints, absolute values and polar decompositions

Authors
Bridges, D Richman, F Schuster, P
Citation
D. Bridges et al., Adjoints, absolute values and polar decompositions, J OPER THEO, 44(2), 2000, pp. 243-254
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024 → ACNP
Volume
44
Issue
2
Year of publication
2000
Pages
243 - 254
Database
ISI
SICI code
0379-4024(200023)44:2<243:AAVAPD>2.0.ZU;2-9
Abstract
Various questions about adjoints, absolute values and polar decompositions of operators are addressed from a constructive point of view. The focus is on bilinear forms. Conditions are given for the existence of an adjoint, an d a general notion of a polar decomposition is developed. The Riesz represe ntation theorem is proved without countable choice.