Geometry of Müntz Spaces and Related Questions
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely u...
Guardat en:
| Autor principal: | |
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| Altres autors: | |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2005. |
| Col·lecció: | Lecture Notes in Mathematics
1870 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky, Berlin, Springer, 2005, 1 vol. (XIII-172 p.), Lecture notes in mathematics, 3-540-28800-7 • Geometry of Müntz Spaces and Related Questions, Texte imprimé, 9783540815419 • Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky, Berlin, Springer, 2005, 1 vol. (XIII-172 p.), Lecture notes in mathematics, 3-540-28800-7 |
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| 100 | 1 | |a Gurariy, Vladimir I., |d 19..- | |
| 245 | 1 | 0 | |a Geometry of Müntz Spaces and Related Questions |c edited by Vladimir I. Gurariy, Wolfgang Lusky. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1870 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Part I Subspaces and Sequences in Banach Spaces: Disposition of Subspaces Sequences in Normed Spaces Isomorphism, Isometries and Embeddings Spaces of Universal Disposition Bounded Approximation Properties Part II On the Geometry of Müntz Sequences: Coefficient Estimates and the Müntz Theorem Classification and Elementary Properties of Müntz Sequences More on the Geometry of Müntz Sequences and Müntz Polynomials Operators of Finite Rank and Bases in Müntz Spaces Projection Types and the Isomorphism Problem for Müntz Spaces The Classes [M], A, P, and Pe Finite Dimensional Müntz Limiting Spaces in C References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality | ||
| 650 | |a Banach, Espaces de | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie | ||
| 650 | |a Analyse fonctionnelle | ||
| 700 | 1 | |a Lusky, Wolfgang, |d 19..- |4 pbd | |
| 776 | 0 | |0 092985394 |t Geometry of Müntz spaces and related questions |f Vladimir I. Gurariy, Wolfgang Lusky |c Berlin |n Springer |d 2005 |p 1 vol. (XIII-172 p.) |s Lecture notes in mathematics |z 3-540-28800-7 | |
| 776 | 0 | |t Geometry of Müntz Spaces and Related Questions |b Texte imprimé |z 9783540815419 | |
| 776 | 0 | |0 092985394 |t Geometry of Müntz spaces and related questions |f Vladimir I. Gurariy, Wolfgang Lusky |c Berlin |n Springer |d 2005 |p 1 vol. (XIII-172 p.) |s Lecture notes in mathematics |z 3-540-28800-7 | |
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