الفهرس الالي لمكتبة كلية العلوم و علوم التكنولوجيا
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Classical Banach spaces / Joram Lindenstrauss
Titre : Classical Banach spaces : 1 sequence spaces Type de document : texte imprimé Auteurs : Joram Lindenstrauss ; Lior Tzafriri Editeur : Berlin,new york : Springer-Verlag Année de publication : 1977 Importance : 190p. Format : 18x25 cm ISBN/ISSN/EAN : 978-0-387-08072-7 Langues : Français (fre) Mots-clés : Classical Banach spaces schader bases symetrie bases orliez sequence spaces Index. décimale : 515 Résumé : The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1 00, then it is well known that X=L (j1,IR) where 1/p+1/q=1 and if p=oo, then X=L (v,lR) for q j some measure v. Thus, the only case where a space is obtained which is not truly classical is when p = 1. This class of spaces is known as L - 1 predual spaces since their duals are L type. It includes some well known j subclasses such as spaces of the type C(T, IR) for T a compact Hausdorff space and abstract M spaces. The structure theorems concern necessary and sufficient conditions that a general Banach space is linearly isometric to a classical Banach space. They are framed in terms of conditions on the norm of the space X, conditions on the dual space X*, and on (finite dimensional) subspaces of X. Since most of these spaces are Banach lattices and Banach algebras, characterizations among theses classes are also given. Note de contenu : Langue : Anglais
ISBN-10 : 3540080724
ISBN-13 : 978-3540080725
Poids de l'article : 620 g
Classical Banach spaces : 1 sequence spaces [texte imprimé] / Joram Lindenstrauss ; Lior Tzafriri . - [S.l.] : Berlin,new york : Springer-Verlag, 1977 . - 190p. ; 18x25 cm.
ISBN : 978-0-387-08072-7
Langues : Français (fre)
Mots-clés : Classical Banach spaces schader bases symetrie bases orliez sequence spaces Index. décimale : 515 Résumé : The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1 00, then it is well known that X=L (j1,IR) where 1/p+1/q=1 and if p=oo, then X=L (v,lR) for q j some measure v. Thus, the only case where a space is obtained which is not truly classical is when p = 1. This class of spaces is known as L - 1 predual spaces since their duals are L type. It includes some well known j subclasses such as spaces of the type C(T, IR) for T a compact Hausdorff space and abstract M spaces. The structure theorems concern necessary and sufficient conditions that a general Banach space is linearly isometric to a classical Banach space. They are framed in terms of conditions on the norm of the space X, conditions on the dual space X*, and on (finite dimensional) subspaces of X. Since most of these spaces are Banach lattices and Banach algebras, characterizations among theses classes are also given. Note de contenu : Langue : Anglais
ISBN-10 : 3540080724
ISBN-13 : 978-3540080725
Poids de l'article : 620 g
Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité ST11495 515/198.1 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Exclu du prêt Ordinary and delay differential equations / Rodney D. Driver
Titre : Ordinary and delay differential equations : applied mathematical sciences20 Type de document : texte imprimé Auteurs : Rodney D. Driver Editeur : Berlin,new york : Springer-Verlag Année de publication : 1977 Importance : 501 p. Format : 17x24 cm ISBN/ISSN/EAN : 978-0-387-90231-9 Note générale : Includes index.
Langues : Français (fre) Mots-clés : Ordinary and delay differential equations elementary methods for ordinary differential equations of first order linear equation linear ordinary existence theory constant coefficients autinomous ordinary differential systems elementary methodes for ordinary differential equations of first order uniqueness and lipschitz conditions for ordinary differential equations the linear equation of order n linear ordinary differential systems introduction to delay differential equations linear delay differential systems stability autonomous ordinary differential systems Index. décimale : 515.3 Résumé : This textbook is designed for the intermediate-level course on ordinary differential equations offered at many universities and colleges. It treats, as standard topics of such a course: existence and uniqueness theory, linear s- terns, stability theory, and introductory phase-plane analysis of autonomous second order systems. The unique feature of the book is its further inc- sion of a substantial introduction to delay differential eq- tions. Such equations are motivated by problems in control theory, physics, biology, ecology, economics, inventory c- trol, and the theory of nuclear reactors. The surge of interest in delay differential equations during the past two or three decades is evidenced by th- sands of research papers on the subject and about 20 published books devoted in whole or in part to these equations. The v * ... books include those of Myskis [1951], El' sgol' c [1955] and [1964], Pinney [1958], Krasovskil [1959], Bellman and Cooke [1963], Norkin [1965], Halanay [1966], Oguztoreli [1966], Lakshmikantham and Leela [1969], Mitropol'skir and Martynjuk [1969], Martynjuk [1971], and Hale [1971], plus a number of symposium and seminar proceedings published in the U.S. and the U.S.S.R. These books have influenced the present textbook. index.
sommaire:
1-elementary methodes for ordinary differential equations of first order
2-uniqueness and lipschitz conditions for ordinary differential equations
3-the linear equation of order n
4-linear ordinary differential systems
5-introduction to delay differential equations
6-existence theory
7-linear delay differential systems
8-stability
9-autonomous ordinary differential systems
Note de contenu : Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (17 février 1977)
Langue : Anglais
Broché : 505 pages
ISBN-10 : 0387902317
ISBN-13 : 978-0387902319
Poids de l'article : 1.58 kg
Dimensions : 15.6 x 2.97 x 23.39 cmOrdinary and delay differential equations : applied mathematical sciences20 [texte imprimé] / Rodney D. Driver . - [S.l.] : Berlin,new york : Springer-Verlag, 1977 . - 501 p. ; 17x24 cm.
ISBN : 978-0-387-90231-9
Includes index.
Langues : Français (fre)
Mots-clés : Ordinary and delay differential equations elementary methods for ordinary differential equations of first order linear equation linear ordinary existence theory constant coefficients autinomous ordinary differential systems elementary methodes for ordinary differential equations of first order uniqueness and lipschitz conditions for ordinary differential equations the linear equation of order n linear ordinary differential systems introduction to delay differential equations linear delay differential systems stability autonomous ordinary differential systems Index. décimale : 515.3 Résumé : This textbook is designed for the intermediate-level course on ordinary differential equations offered at many universities and colleges. It treats, as standard topics of such a course: existence and uniqueness theory, linear s- terns, stability theory, and introductory phase-plane analysis of autonomous second order systems. The unique feature of the book is its further inc- sion of a substantial introduction to delay differential eq- tions. Such equations are motivated by problems in control theory, physics, biology, ecology, economics, inventory c- trol, and the theory of nuclear reactors. The surge of interest in delay differential equations during the past two or three decades is evidenced by th- sands of research papers on the subject and about 20 published books devoted in whole or in part to these equations. The v * ... books include those of Myskis [1951], El' sgol' c [1955] and [1964], Pinney [1958], Krasovskil [1959], Bellman and Cooke [1963], Norkin [1965], Halanay [1966], Oguztoreli [1966], Lakshmikantham and Leela [1969], Mitropol'skir and Martynjuk [1969], Martynjuk [1971], and Hale [1971], plus a number of symposium and seminar proceedings published in the U.S. and the U.S.S.R. These books have influenced the present textbook. index.
sommaire:
1-elementary methodes for ordinary differential equations of first order
2-uniqueness and lipschitz conditions for ordinary differential equations
3-the linear equation of order n
4-linear ordinary differential systems
5-introduction to delay differential equations
6-existence theory
7-linear delay differential systems
8-stability
9-autonomous ordinary differential systems
Note de contenu : Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (17 février 1977)
Langue : Anglais
Broché : 505 pages
ISBN-10 : 0387902317
ISBN-13 : 978-0387902319
Poids de l'article : 1.58 kg
Dimensions : 15.6 x 2.97 x 23.39 cmRéservation
Réserver ce document
Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité ST12783 515.3/10.1 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Exclu du prêt ST12602 515.3/10.2 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Disponible