Finite sections of band-dominated operators / / Steffen Roch
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Roch Steffen <1958->
|
| Titolo: |
Finite sections of band-dominated operators / / Steffen Roch
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (104 p.) |
| Disciplina: | 512/.55 |
| Soggetto topico: | Operator algebras |
| Operator theory | |
| Note generali: | "Volume 191, number 895 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references (pages 83-85) and index. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction: Band-dominated operators""; ""Chapter 2. Stability""; ""2.1. Fredholm band-dominated operators and their indices""; ""2.2. Algebras of matrix sequences""; ""2.3. Stability vs. Fredholmness""; ""2.4. Stability of the finite sections method""; ""2.5. Band-dominated operators with slowly oscillating coefficients""; ""2.6. The role of the index""; ""2.7. The C*-algebra of the finite sections method""; ""2.8. Another perspective on localization""; ""Chapter 3. Stable regularizability""; ""3.1. Moore-Penrose invertibility in C*-algebras"" |
| ""3.2. Stable regularizability vs. Moore- Penrose invertibility""""3.3. Stable regularizability of the finite sections method""; ""Chapter 4. Compactness""; ""4.1. Compact sequences""; ""4.2. Characterization via singular values""; ""4.3. Central rank characterizations""; ""4.4. Minimal and maximal characterizations""; ""4.5. Compact sequences in S(N) and S(Z)""; ""Chapter 5. Fredholmness""; ""5.1. Fredholm sequences""; ""5.2. Fredholmness and stability""; ""5.3. Fredholmness and stable regularizability""; ""5.4. Fredholmness of the finite sections method"" | |
| ""5.5. Slowly oscillating coefficients""""Chapter 6. Essential fractality""; ""6.1. Fractality of quotient maps""; ""6.2. J-fractal algebras""; ""6.3. Essential fractality and singular values""; ""6.4. Essential fractality of the finite sections algebras""; ""Chapter 7. Applications""; ""7.1. Approximation numbers""; ""7.2. Rank-preserving discretizations""; ""7.3. Arveson dichotomy: band- dominated operators""; ""7.4. Arveson dichotomy: the general setting""; ""7.5. Essential spectra""; ""7.6. Essential pseudospectra""; ""7.7. Pseudomodes""; ""7.8. Determinants""; ""Bibliography""; ""Index"" | |
| Titolo autorizzato: | Finite sections of band-dominated operators |
| ISBN: | 1-4704-0501-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910812438603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 895.