REMARKS ON NUMERICAL RANGES OF OPERATORS IN SPACES WITH AN INDEFINITEMETRIC

Authors
LI CK RODMAN L
Citation
Ck. Li et L. Rodman, REMARKS ON NUMERICAL RANGES OF OPERATORS IN SPACES WITH AN INDEFINITEMETRIC, Proceedings of the American Mathematical Society, 126(4), 1998, pp. 973-982
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
4
Year of publication
1998
Pages
973 - 982
Database
ISI
SICI code
0002-9939(1998)126:4<973:RONROO>2.0.ZU;2-A
Abstract
The numerical range of an operator on an indefinite inner product spac e (possibly infinite dimensional) is studied. In particular, operators having bounded numerical ranges are characterized, and the angle poin ts of the numerical range and their connections with eigenvalues are d escribed.