PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wynik贸w
1997 | 66 | 1 | 43-48
Tytu艂 artyku艂u

Projectivity and lifting of Hilbert module maps

Tre艣膰 / Zawarto艣膰
Warianty tytu艂u
J臋zyki publikacji
EN
Abstrakty
EN
In a recent paper, Carlson, Foia艧, Williams and the author proved that isometric Hilbert modules are projective in the category of Hilbert modules similar to contractive ones. In this paper, a simple proof, based on a strengthened lifting theorem, is given. The proof also applies to an equivalent theorem of Foia艧 and Williams on similarity to a contraction of a certain 2 脳 2 operator matrix.
S艂owa kluczowe
Tw贸rcy
  • Department of Mathematics, University of Georgia, Athens, Georgia 30602, U.S.A.
Bibliografia
  • [1] J. F. Carlson and D. N. Clark, Cohomology and extensions of Hilbert modules, J. Funct. Anal. 128 (1995), 278-306.
  • [2] J. F. Carlson, D. N. Clark, C. Foia艧 and J. P. Williams, Projective Hilbert 饾敻(饾敾)-modules, New York J. Math. 1 (1994), 26-38.
  • [3] R. G. Douglas and V. I. Paulsen, Hilbert Modules over Function Algebras, Longman Scientific and Technical, New York, 1989.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv66z1p43bwm
JavaScript jest wy艂膮czony w Twojej przegl膮darce internetowej. W艂膮cz go, a nast臋pnie od艣wie偶 stron臋, aby m贸c w pe艂ni z niej korzysta膰.