Full operators and algebras generated by invertible operators

2009/04/10 by Wilson R. Pacheco R, R, Wilson R. Pacheco
Mathematics · #47A05 #47A58 #47B06 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:47A05 #msc:47A58 #msc:47B06

paper · pdf · doi:10.48550/arxiv.0904.1724

5 pages

arxiv created 2009/10/22 · arxiv updated 2009/12/01

Abstract

In the present work we characterized full operators and we showed some properties that have nonfull injectives operators. With the results developed for full operators, we affirmatively respond two questions formulated by Bravo and Feintuch on when the inverse of an operator can be weakly approximated by polynomials in the operator

Related

• Operator algebras with contractive approximate identities II
• Natural generalized invertibility and prescribed idempotents
• On the invertibility of elementary operators
• Unbounded operators: (square) roots, nilpotence, closability and some\n related invertibility results
• Residual finite dimensionality and representations of amenable operator\n algebras