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Record Nr. |
UNINA9910812438603321 |
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Autore |
Roch Steffen <1958-> |
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Titolo |
Finite sections of band-dominated operators / / Steffen Roch |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (104 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 895 |
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Disciplina |
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Soggetti |
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Operator algebras |
Operator theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 191, number 895 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 83-85) and index. |
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Nota di contenuto |
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""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""; |
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