PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: No information on entry rating
[parent] criterion for a Banach *-algebra representation to be irreducible (Theorem)
ARepresentationPiOfMathcalAIsIrreducibleIffPimathcalAmathbbCI

"criterion for a Banach *-algebra representation to be irreducible" is owned by asteroid.
(view preamble | get metadata)

View style:


This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: element, closed invariant, onto, subspace, closed, conversely, invariant subspace, operator, projection, von Neumann algebras of dimension greater than one contain non-trivial projections, von Neumann algebra, proof, scalar multiples, commutant, topologically irreducible, identity operator, Hilbert space, Banach *-algebra, theorem

This is version 6 of criterion for a Banach *-algebra representation to be irreducible, born on 2007-08-09, modified 2007-08-17.
Object id is 9845, canonical name is ARepresentationPiOfMathcalAIsIrreducibleIffPimathcalAmathbbCI.
Accessed 612 times total.

Classification:
AMS MSC46K10 (Functional analysis :: Topological algebras with an involution :: Representations of topological algebras with involution)

Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | prove | add result | add corollary | add example | add (any)