Verlag: Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10: 3034603274 ISBN 13: 9783034603270
Sprache: Englisch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Taschenbuch. Zustand: Neu. Neuware -This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 316 pp. Englisch.
Verlag: Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10: 3764389974 ISBN 13: 9783764389970
Sprache: Englisch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Buch. Zustand: Neu. Neuware -Tauberian operators were introduced to investigate a problem in summability theory from an abstract point of view. Since that introduction, they have made a deep impact on the isomorphic theory of Banach spaces. In fact, these operators have been useful in several contexts of Banach space theory that have no apparent or obvious connections. For instance, they appear in the famous factorization of Davis, Figiel, Johnson and Pelczynski[49] (henceforth the DFJP factorization), in the study of exact sequences of Banach spaces [174], in the solution of certain summability problems of tauberian type [63, 115], in the problem of the equivalence between the Krein-Milman property and the Radon-Nikodym property [151], in certain sequels of James' characterization of reflexive Banach spaces [135], in the construction of hereditarily indecomposable Banach spaces [13], in the extension of the principle of local reflexivity to operators [27], in the study of certain Calkin algebras associated with the weakly compact operators [16], etc. Since the results concerning tauberian operators appear scattered throughout the literature, in this book we give a unified presentation of their properties and their main applications in functional analysis. We also describe some questions about tauberian operators that remain open.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 264 pp. Englisch.
Verlag: Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10: 303460291X ISBN 13: 9783034602914
Sprache: Englisch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Buch. Zustand: Neu. Neuware -In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing. We present both the theory and algorithms with some Matlab code to solve these problems. A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ltering. One advantage of this approach is that it readily leads to algorithms in the non-degenerate case. On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from. Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting. However, these techniques are in general not used to develop computational algorithms. In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems. It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory. We will present two methods for spectral factorization. One method derives al- rithms based on nite sections of a certain Toeplitz matrix. The other approach uses operator theory to develop the Riccati factorization method. Finally, we use isometric extension techniques to solve some interpolation problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 444 pp. Englisch.
Verlag: Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10: 3034601794 ISBN 13: 9783034601795
Sprache: Englisch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Buch. Zustand: Neu. Neuware -The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 328 pp. Englisch.
Verlag: Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10: 3034602553 ISBN 13: 9783034602556
Sprache: Deutsch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Taschenbuch. Zustand: Neu. Neuware -Das Lebensmittelmonitoring ist ein gemeinsam von Bund und Ländern durchgeführtes Untersuchungsprogramm, das die amtliche Lebensmittelüberwachung der Bundesländer ergänzt. Während die Lebensmittelüberwachung vor allem durch verdachts- und risikoorientierte Untersuchungen die Einhaltung lebensmittelrechtlicher Vorschriften kontrolliert, ist das Lebensmittelmonitoring ein System wiederholter repräsentativer Messungen und Bewertungen von Gehalten an unerwünschten Stoffen wie Pflanzenschutzmitteln, Schwermetallen und anderen Kontaminanten in und auf Lebensmitteln. Mit Hilfe des Lebensmittelmonitorings können mögliche gesundheitliche Risiken für die Verbraucher erkannt und abgestellt werden.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 108 pp. Deutsch.