Vol. 152, No. 1, 1992

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
On a characterization of velocity maps in the space of observables

B. V. Rajarama Bhat

Vol. 152 (1992), No. 1, 1–14
Abstract

Motivated by Heisenberg’s picture of quantum dynamics the notion of a velocity map is introduced and its properties are investigated. The main theorem in the present exposition strengthens the well-known result that every derivation on the algebra of all bounded operators on a complex separable Hilbert space is inner. A constructive proof leads to an inversion formula for the observables inducing the derivation.

Mathematical Subject Classification 2000
Primary: 46L10
Secondary: 46L57
Milestones
Received: 9 August 1990
Published: 1 January 1992
Authors
B. V. Rajarama Bhat