| 书目名称 | Optimal Domain and Integral Extension of Operators | | 副标题 | Acting in Function S | | 编辑 | Susumu Okada,Werner J. Ricker,Enrique A. Sánchez P | | 视频video | | | 概述 | Many and varied examples to supplement the theory.Interdisciplinary character.Most material appears in print for the first time.Extensive bibliography.Includes supplementary material: | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2008 | | 关键词 | Banach Space; calculus; differential equation; function space; measure; operator theory; optimal domains | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8648-1 | | isbn_ebook | 978-3-7643-8648-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Birkhäuser Basel 2008 |
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发表于 2025-3-21 19:19:12
