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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 416 | Sprache: Englisch | Produktart: Bücher | Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces or operators acting in them. Many of the ?rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetratingcontributionsofA.Grothendieck,whichhavepervadedandin?uenced theshapeoffunctionalanalysisandthetheoryofvectormeasures/inte grationever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous in?uences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces or operators acting in them. Many of the rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetratingcontributionsofA.Grothendieck,whichhavepervadedandin uenced theshapeoffunctionalanalysisandthetheoryofvectormeasures/integrationever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous in uences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point.
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 400 | Sprache: Englisch | Produktart: Bücher | papers represent rather well most of the topics covered in the conference.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Slowly, but surely, it is becoming a tradition that biannual international conf- enceson VectorMeasuresandIntegration aretakingplace.The rstmeetingwas held in Valencia (Spain) in 2004 with the respectable total of 35 participants and the second meeting in Sevilla (Spain) in 2006with 50 participants.It became clear at the latter meeting that there was already a broader interest level in the area generally(asitshouldbe).Relatedareasfromoperatortheory,functionalanalysis, Banach (and Fr echet) spaces and lattices, non-commutative integration, function theory, classical and harmonic analysis, mathematical physics, and applied ma- ematics havetraditionallyused methods and techniquesfrom vector measuresand integration theory and, simultaneously, have themselves provided new problems, directions and impetus for the theory of vector measures and integration. So, for the third meeting, held in Eichst att (Germany) in September 2008, a natural and deliberate step was taken to put a larger emphasis on applications andconnectionswith other areasofmathematics.Accordingly,the conferencetitle was modi ed to Vector Measures, Integration and Applications , which is also re ected in the title of this volume. Correspondingly, the attendance grew to 84 participants, which illustrates that the area is really thriving. Most importantly, there was also a healthy mixture of oldies and younger researchers in att- dance, coming from 21 countries. In addition, there was a pleasant and interesting combination of abstract theory, concrete applications and open problems. Needless to say, the fourth meeting is already xed; it will take place in late 2010 in Murcia (Spain). Thisvolumeconsistsofaselectionofrefereedpapersbasedontalkspresented at the conference. The included papers represent rather well most of the topics covered in the conference.
Zustand: New. papers represent rather well most of the topics covered in the conference. Editor(s): Curbera, Guillermo P.; Mockenhaupt, Gerd; Ricker, Werner J. Series: Operator Theory: Advances and Applications. Num Pages: 396 pages, biography. BIC Classification: PBKF; PBKL. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 25. Weight in Grams: 862. . 2009. Hardback. . . . . Books ship from the US and Ireland.