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Record Nr. |
UNINA9910480124603321 |
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Autore |
Schochetman Irwin E. <1939-> |
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Titolo |
Kernels and integral operators for continuous sums of Banach spaces / / Irwin E. Schochetman |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , [1978] |
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©1978 |
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ISBN |
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Descrizione fisica |
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1 online resource (129 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 202 |
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Disciplina |
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Soggetti |
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Banach spaces |
Integral operators |
Kernel functions |
Electronic books. |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Nota di contenuto |
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""CONTENTS""; ""CHAPTER 0. INTRODUCTION, BACKGROUND, AND PRELIMINARIES""; ""CHAPTER I. CONTINUOUS AND MEASURABLE VECTOR FIELDS""; ""1. Continuity structures and continuity""; ""2. Equicontinuity""; ""3. Measurability""; ""4. Product spaces""; ""CHAPTER II. CONTINUOUS SUMS OF BANACH SPACES""; ""5. Spaces of continuous vector fields""; ""6. Lebesgue spaces""; ""7. Mixed-norm Lebesgue spaces""; ""8. Dual continuity structures""; ""CHAPTER III. KERNEL FIELDS""; ""9. Norm formulas""; ""10. Strong continuity and measurability""; ""11. Weak continuity and measurability"" |
""12. Uniform continuity and measurability""""13. Finite-rank kernels""; ""14. Hilbert-Schmidt kernels""; ""CHAPTER IV. INTEGRAL OPERATORS AND COMPACTNESS""; ""15. Integral operators""; ""16. Compact operators""; ""17. Hilbert-Schmidt operators""; ""18. Trace-class operators""; ""CHAPTER V. APPLICATION TO INDUCED BANACH REPRESENTATIONS""; ""19. Induced Banach representations""; ""20. The integrated form""; ""21. Compactness for induced representations""; ""REFERENCES"" |
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