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On the Moore–Penrose inverse, EP Banach space operators, and EP Banach algebra elements
- Source :
- Journal of Mathematical Analysis and Applications. 339(2):1003-1014
- Publication Year :
- 2008
- Publisher :
- Elsevier BV, 2008.
-
Abstract
- The main concern of this note is the Moore–Penrose inverse in the context of Banach spaces and algebras. Especially attention will be given to a particular class of elements with the aforementioned inverse, namely EP Banach space operators and Banach algebra elements, which will be studied and characterized extending well-known results obtained in the frame of Hilbert space operators and C ∗ -algebra elements.
- Subjects :
- Mathematics::Functional Analysis
Approximation property
EP Banach space operators
Applied Mathematics
Infinite-dimensional vector function
Eberlein–Šmulian theorem
Hermitian idempotents
Banach manifold
Operator theory
Moore–Penrose inverse
EP Banach algebra elements
Algebra
Banach algebra
Bounded inverse theorem
C0-semigroup
Analysis
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 339
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi.dedup.....76c1ba1648612ff7c6548e3e281f7cd2
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.07.059