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On new approach to semi-Fredholm theory in unital C*-algebras.
- Source :
-
Proceedings of the International Geometry Center . 2024, Vol. 17 Issue 1, p1-17. 17p. - Publication Year :
- 2024
-
Abstract
- Axiomatic Fredholm theory in unital C*-algebras was established in [D. Kečkić, Z. Lazović, Acta Sci. Math., 83(3-4):629-655, 2017]. Following the pure algebraic approach by Keckic and Lazovic, in the author’s paper [S. Ivkovic, Banach J. Math. Anal., 17:51, 2023] we extended further this theory to axiomatic semi-Fredholm and semi-Weyl theory in unital C*- algebras. However, recently, in [S. Ivković, arXiv:2306.01133] we developed another approach to axiomatic Fredholm theory in unital C*-algebras which is based on the theory of Hilbert modules and is equivalent to the algebraic approach by Kečkić and Lazović. In this paper, we extend further that new Hilbert-module approach from Fredholm theory to semi-Fredholm and semiWeyl theory in unital C*-algebras. Hence, we provide new proofs to the results in [S. Ivkovic, Banach J. Math. Anal., 17:51, 2023]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT modules
*C*-algebras
*HILBERT transform
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 20729812
- Volume :
- 17
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Proceedings of the International Geometry Center
- Publication Type :
- Academic Journal
- Accession number :
- 177547362
- Full Text :
- https://doi.org/10.15673/pigc.v17i1.2594