Banach Lattices, Peter Meyer-Nieberg

Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg
Название: Positive Operators and Semigroups on Banach Lattices
ISBN: 9048142059 ISBN-13(EAN): 9789048142057
Издательство: Springer
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Автор: H.H. Schaefer
Название: Banach Lattices and Positive Operators
ISBN: 3642659721 ISBN-13(EAN): 9783642659720
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Описание: Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H. Freudenthal in the middle nineteen thirties; thus their early theory dates back almost as far as the beginning of the systematic investigation of Banach spaces. Schools of research on vector lattices were subsequently founded in the Soviet Union (Kantorovic, Judin, Pinsker, Vulikh) and in Japan (Nakano, Ogasawara, Yosida); other important contri- butions came from the United States (G. Birkhoff, Kakutani, M. H. Stone). L. Kantorovic and his school first recognized the importance of studying vector lattices in connection with Banach's theory of normed vector spaces; they investigated normed vector lattices as well as order-related linear operators between such vector lattices. (Cf. Kantorovic-Vulikh-Pinsker 1950] and Vulikh 1967].) However, in the years following that early period, functional analysis and vector lattice theory began drifting more and more apart; it is my impression that "linear order theory" could not quite keep pace with the rapid development of general functional analysis and thus developed into a theory largely existing for its own sake, even though it had interesting and beautiful applications here and there.

Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg
Название: Positive Operators and Semigroups on Banach Lattices
ISBN: 0792319648 ISBN-13(EAN): 9780792319641
Издательство: Springer
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Описание: The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation and provide an overview of the present state of development in various areas of the theory of positive operators and their special properties.

Автор: C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg; B
Название: Operator Theory in Function Spaces and Banach Lattices
ISBN: 3034898967 ISBN-13(EAN): 9783034898966
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Цена: 74490.00 T
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Описание: It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory.

Автор: Klaus W. Roggenkamp; Verena Huber-Dyson
Название: Lattices over Orders I
ISBN: 3540049045 ISBN-13(EAN): 9783540049043
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Автор: John W. Clark; Manfred L. Ristig
Название: Theory of Spin Lattices and Lattice Gauge Models
ISBN: 3662141132 ISBN-13(EAN): 9783662141137
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Автор: Sadok Ben Yahia; Engelbert Mephu Nguifo; Radim Bel
Название: Concept Lattices and Their Applications
ISBN: 3540789200 ISBN-13(EAN): 9783540789208
Издательство: Springer
Цена: 65210.00 T
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Автор: Jean-Ren? Chazottes; Bastien Fernandez
Название: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems
ISBN: 3642063535 ISBN-13(EAN): 9783642063534
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Описание: Clustering in Globally Coupled Maps.- Snychronisation in CML.- Dynamics of Frenkel-Kontorova Chains.- Attractors and Bifurcations in CML.- Dynamics of Genetic Regulation Networks.- Phase Transitions in CML.- Introduction to CML.- Topological Properties of Chaotic CML.- TBA.- Monotonic Dynamics of Extended Systems.- Neural Networks: Integro-Differential Models.- Equilibrium States for CML.- Transfer Operators in CML.

Автор: Jacques Martinet
Название: Perfect Lattices in Euclidean Spaces
ISBN: 3642079210 ISBN-13(EAN): 9783642079214
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Автор: Hyman Bass; H. Bass; Alexander Lubotzky; L. Carbon
Название: Tree Lattices
ISBN: 1461274133 ISBN-13(EAN): 9781461274131
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Описание:

This monograph extends this approach to the more general investigation of X-lattices, and these "tree lattices" are the main object of study. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Tree Lattices should be a helpful resource to researchers in the field, and may also be used for a graduate course on geometric methods in group theory.

Автор: Fumitomo Maeda; Shuichiro Maeda
Название: Theory of Symmetric Lattices
ISBN: 3642462502 ISBN-13(EAN): 9783642462504
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Описание: Of central importance in this book is the concept of modularity in lattices. These lattices are said to be M-sym- metric, and their study forms an extension of the theory of modular lattices. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice.

Автор: Vladimir I. Nekorkin; M. G. Velarde
Название: Synergetic Phenomena in Active Lattices
ISBN: 3642627250 ISBN-13(EAN): 9783642627255
Издательство: Springer
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Цена: 93160.00 T
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Описание: In recent years there has been growing interest in the study of the nonlinear spatio-temporal dynamics of problems appearing in various ?elds of science and engineering. In a wide class of such systems an important place is - cupied by active lattice dynamical systems. Active lattice systems are, e. g., networks of identical or almost identical interacting units ordered in space. The activity of lattices is provided by the activity of units in them that possess energy or matter sources. In real (1D, 2D or 3D) space, processes develop by means of various types of connections, the simplest being di?usion. The uniqueness of lattice systems is that they represent spatially extended systems while having a ?nite-dimensional phase space. Therefore, active lattice s- tems are of interest for the study of multidimensional dynamical systems and the theory of nonlinear waves and dissipative structures of extended systems as well. The theory of nonlinear waves and dissipative structures of spatially distributed systems demands using theoretical methods and approaches of the qualitative theory of dynamical systems, bifurcation theory, and numerical methods or computer experiments. In other words, the investigation of spat- temporal dynamics in active lattice systems demands a multitool, synergetic approach, which we shall use in this book.