Asymptotic theory of finite dimensional normed spaces / / Vitali D. Milman, Gideon Schechtman ; with an appendix by M. Gromov
| Asymptotic theory of finite dimensional normed spaces / / Vitali D. Milman, Gideon Schechtman ; with an appendix by M. Gromov |
| Autore | Milman Vitali D. <1939-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Berlin : , : Springer, , [2001] |
| Descrizione fisica | 1 online resource (XII, 160 p.) |
| Disciplina | 515.732 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico | Normed linear spaces |
| ISBN | 3-540-38822-2 |
| Classificazione |
46B20
52A20 60F10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Concentration of Measure Phenomenon in the Theory of Normed Spaces -- Preliminaries -- The Isoperimetric Inequality on Sn?1 and Some Consequences -- Finite Dimensional Normed Spaces, Preliminaries -- Almost Euclidean Subspaces of A Normed Space -- Almost Euclidean Subspaces of ?{p}n Spaces, of General n-Dimensional Normed Spaces, and of Quotient of n-Dimensional Spaces -- Levy Families -- Martingales -- Embedding ?pm into ?1n -- Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties -- Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces -- Type and Cotype of Normed Spaces -- Ramsey’s Theorem with Some Applications to Normed Spaces -- Krivine’s Theorem -- The Maurey-Pisier Theorem -- The Rademacher Projection -- Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces. |
| Record Nr. | UNISA-996466633303316 |
Milman Vitali D. <1939->
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| Berlin : , : Springer, , [2001] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / / V. D. Milman, G. Schechtman (editors)
| Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / / V. D. Milman, G. Schechtman (editors) |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (VIII, 332 p.) |
| Disciplina | 515.7 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Functional analysis |
| ISBN |
1-280-85349-2
9786610853496 3-540-72053-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure -- Geometric Applications of Chernoff-Type Estimates -- A Remark on the Surface Brunn–Minkowski-Type Inequality -- On Isoperimetric Constants for Log-Concave Probability Distributions -- A Remark on Quantum Ergodicity for CAT Maps -- Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields -- On the Maximal Number of Facets of 0/1 Polytopes -- A Note on an Observation of G. Schechtman -- Marginals of Geometric Inequalities -- Deviation Inequalities on Largest Eigenvalues -- On the Euclidean Metric Entropy of Convex Bodies -- Some Remarks on Transportation Cost and Related Inequalities -- A Comment on the Low-Dimensional Busemann–Petty Problem -- Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling -- The Random Version of Dvoretzky's Theorem in -- Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension -- Decoupling Weakly Dependent Events -- The Square Negative Correlation Property for Generalized Orlicz Balls. |
| Record Nr. | UNINA-9910485029403321 |
| Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / / V. D. Milman, G. Schechtman (editors)
| Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / / V. D. Milman, G. Schechtman (editors) |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (VIII, 332 p.) |
| Disciplina | 515.7 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Functional analysis |
| ISBN |
1-280-85349-2
9786610853496 3-540-72053-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure -- Geometric Applications of Chernoff-Type Estimates -- A Remark on the Surface Brunn–Minkowski-Type Inequality -- On Isoperimetric Constants for Log-Concave Probability Distributions -- A Remark on Quantum Ergodicity for CAT Maps -- Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields -- On the Maximal Number of Facets of 0/1 Polytopes -- A Note on an Observation of G. Schechtman -- Marginals of Geometric Inequalities -- Deviation Inequalities on Largest Eigenvalues -- On the Euclidean Metric Entropy of Convex Bodies -- Some Remarks on Transportation Cost and Related Inequalities -- A Comment on the Low-Dimensional Busemann–Petty Problem -- Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling -- The Random Version of Dvoretzky's Theorem in -- Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension -- Decoupling Weakly Dependent Events -- The Square Negative Correlation Property for Generalized Orlicz Balls. |
| Record Nr. | UNISA-996466651103316 |
| Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910480950703321 |
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910788850203321 |
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman
| Interpolation of weighted Banach lattices : a characterization of relatively decomposable Banach lattices / / Michael Cwikel, Per G. Nilsson, Gideon Schechtman |
| Autore | Cwikel M (Michael), <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina |
510 s
515/.732 |
| Altri autori (Persone) | CwikelM <1948-> (Michael) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Banach lattices
Interpolation |
| ISBN | 1-4704-0385-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Interpolation of weighted Banach lattices""; ""0. Introduction""; ""1. Definitions, terminology and preliminary results""; ""2. The main results""; ""3. A uniqueness theorem""; ""4. Two properties of the K-functional for a couple of Banach lattices""; ""5. Characterizations of couples which are uniformly Calderon-Mityagin for all weights""; ""6. Some uniform boundedness principles for interpolation of Banach lattices""; ""7. Appendix: Lozanovskii's formula for general Banach lattices of measurable functions""; ""References""
""A characterization of relatively decomposable Banach lattices""""1. Introduction""; ""2. Equal norm upper and lower p�estimates and some other preliminary results""; ""3. Completion of the proof of the main theorem""; ""4. Application to the problem of characterizing interpolation spaces""; ""References"" |
| Record Nr. | UNINA-9910820407803321 |
Cwikel M (Michael), <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2003] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||