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http://hdl.handle.net/123456789/1017| Title: | Index Theory |
| Authors: | Yadav, Himanshu |
| Keywords: | Compact Operators Index of Fredholm Operators Toeplitz Operators Toeplitz Operator |
| Issue Date: | 27-Nov-2018 |
| Publisher: | IISERM |
| Abstract: | In this thesis, I have discussed different types of operators and their indices. Begin- ning with basics of compact operators and their properties, I gave an exposition on Fredholm operators between Banach spaces. I have also shown that compact oper- ators are the furthest from Fredholm operators in infinite dimensional space. And finally, I studied Toeplitz operators which are Fredholm operators with an invertible symbol. |
| URI: | http://hdl.handle.net/123456789/1017 |
| Appears in Collections: | MS-12 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MS12060.pdf | 13.91 kB | Adobe PDF | View/Open |
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