The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators. In the framework of Hilbert C*-modules over C...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/53060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850159977331687424 |
|---|---|
| author | A. Niknam K. Sharifi |
| author_facet | A. Niknam K. Sharifi |
| author_sort | A. Niknam |
| collection | DOAJ |
| description | The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators. In the framework of Hilbert C*-modules over C*-algebras of compact operators, the index of an unbounded Fredholm operator and the index of its bounded transform are the same. |
| format | Article |
| id | doaj-art-b2347fbde97042128bcf70e799b629cc |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b2347fbde97042128bcf70e799b629cc2025-08-20T02:23:18ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/5306053060The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact OperatorsA. Niknam0K. Sharifi1Department of Mathematics, Ferdowsi University, Mashhad 91775, IranDepartment of Mathematics, Ferdowsi University, Mashhad 91775, IranThe concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators. In the framework of Hilbert C*-modules over C*-algebras of compact operators, the index of an unbounded Fredholm operator and the index of its bounded transform are the same.http://dx.doi.org/10.1155/2007/53060 |
| spellingShingle | A. Niknam K. Sharifi The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators Abstract and Applied Analysis |
| title | The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators |
| title_full | The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators |
| title_fullStr | The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators |
| title_full_unstemmed | The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators |
| title_short | The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators |
| title_sort | atkinson theorem in hilbert c modules over c algebras of compact operators |
| url | http://dx.doi.org/10.1155/2007/53060 |
| work_keys_str_mv | AT aniknam theatkinsontheoreminhilbertcmodulesovercalgebrasofcompactoperators AT ksharifi theatkinsontheoreminhilbertcmodulesovercalgebrasofcompactoperators AT aniknam atkinsontheoreminhilbertcmodulesovercalgebrasofcompactoperators AT ksharifi atkinsontheoreminhilbertcmodulesovercalgebrasofcompactoperators |