A local global principle for regular operators in Hilbert C*-modules

Details A local global principle for regular operators in Hilbert C*-modules A local global principle for regular operators in Hilbert C*-modules

2011-07-12

arxiv.org/abs/1107.2372v2

Mathematics

Operator Algebras

28 pages, 2 figures; v2: revised version, accepted for publication in Journal of Functional Analysis

Scientific paper

10.1016/j.jfa.2012.03.002

Hilbert C*-modules are the analogues of Hilbert spaces where a C*-algebra plays the role of the scalar field. With the advent of Kasparov's celebrated KK-theory they became a standard tool in the theory of operator algebras. While the elementary properties of Hilbert C*-modules can be derived basically in parallel to Hilbert space theory the lack of an analogue of the Projection Theorem soon leads to serious obstructions and difficulties. In particular the theory of unbounded operators is notoriously more complicated due to the additional axiom of regularity which is not easy to check. In this paper we present a new criterion for regularity in terms of the Hilbert space localizations of an unbounded operator. We discuss several examples which show that the criterion can easily be checked and that it leads to nontrivial regularity results.

Affiliated with

Also associated with

No associations

Rating

A local global principle for regular operators in Hilbert C*-modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A local global principle for regular operators in Hilbert C*-modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A local global principle for regular operators in Hilbert C*-modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566020