Fredholm-type Operators and Index
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910292693221376 |
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| author | Hamdan, Alaa Berkani, Mohammed |
| author_facet | Hamdan, Alaa Berkani, Mohammed |
| contents | While in \cite{HB} we studied classes of Fredholm-type operators defined by the homomorphism $Π$ from $L(X)$ onto the Calkin algebra $\mathcal{C}(X)$, $X$ being a Banach space, we study in this paper two classes of Fredholm-type operators defined by the homomorphism $π$ from $L(X)$ onto the algebra $\mathcal{C}_0(X)= L(X)/F_0(X),$ where $F_0(X)$ is the ideal of finite rank operators in $L(X).$ Then we define an index for Fredholm-type operators and we show that this new index satisfies similar properties as the usual Fredholm index. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fredholm-type Operators and Index Hamdan, Alaa Berkani, Mohammed Functional Analysis Spectral Theory 47A53, 16U90, 16U40 While in \cite{HB} we studied classes of Fredholm-type operators defined by the homomorphism $Π$ from $L(X)$ onto the Calkin algebra $\mathcal{C}(X)$, $X$ being a Banach space, we study in this paper two classes of Fredholm-type operators defined by the homomorphism $π$ from $L(X)$ onto the algebra $\mathcal{C}_0(X)= L(X)/F_0(X),$ where $F_0(X)$ is the ideal of finite rank operators in $L(X).$ Then we define an index for Fredholm-type operators and we show that this new index satisfies similar properties as the usual Fredholm index. |
| title | Fredholm-type Operators and Index |
| topic | Functional Analysis Spectral Theory 47A53, 16U90, 16U40 |
| url | https://arxiv.org/abs/2401.01390 |