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＜電子ブック＞
Inner Product Structures : Theory and Applications / by V.I. Istratescu
(Mathematics and Its Applications ; 25)

版	1st ed. 1987.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1987
本文言語	英語
大きさ	XVI, 896 p : online resource
著者標目	*Istratescu, V.I author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	1/General Topology. Topological Spaces -- 2/Banach Spaces and Complete Inner Product Spaces -- 3/Orthogonality and Bases -- 4/Metric Characterizations of Inner Product Spaces -- 5/Banach Algebras -- 6/Bounded and Unbounded Linear Operators -- 7/Ideals of Operators on Complete Inner Product Spaces and on Banach Spaces -- 8/Operator Characterizations of Inner Product Spaces -- 9/Probability Theory and Inner Product Structures -- 10/Positive Definite Functions, Functions of Positive Type and Inner Product Structures -- 11/Reproducing Kernels and Inner Product Spaces. Applications -- 12/Inner Product Modules -- 13/Quaternionic Complete Inner Product Spaces -- 14/Inner Product Algebras -- 15/Non-Archimedean, Nonstandard, Intuitionistic and Constructive Inner Product Spaces -- 16/Indefinite Inner Product Structures -- 17/Some Applications of Inner Product Structures -- 18/A Collection of Problems -- References -- List of Symbols and Abbreviations -- Author Index Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics HTTP:URL=https://doi.org/10.1007/978-94-009-3713-0

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