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Titlebook: Bilinear Maps and Tensor Products in Operator Theory; Carlos S. Kubrusly Textbook 2023 The Editor(s) (if applicable) and The Author(s), un

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發(fā)表于 2025-3-21 18:15:16 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Bilinear Maps and Tensor Products in Operator Theory
影響因子2023Carlos S. Kubrusly
視頻videohttp://file.papertrans.cn/187/186235/186235.mp4
發(fā)行地址Offers a unique approach to tensor products from the view point of operator theory.Of interest to those in mathematics, physics, and in the fields of numerical analysis and scientific computing."Addit
學(xué)科分類Universitext
圖書封面Titlebook: Bilinear Maps and Tensor Products in Operator Theory;  Carlos S. Kubrusly Textbook 2023 The Editor(s) (if applicable) and The Author(s), un
影響因子.This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products. Tensor products, particularly in infinite-dimensional normed spaces, are heavily based on bilinear maps. The author brings these topics together by using bilinear maps as an auxiliary, yet fundamental, tool for accomplishing a consistent, useful, and straightforward theory of tensor products. The author’s usual clear, friendly, and meticulously prepared exposition presents the material in ways that are designed to make grasping concepts easier and simpler. The approach to the subject is uniquely presented from an operator theoretic view.? An introductory course in functional analysis is assumed. In order to keep the prerequisites as modest as possible, there are two introductory chapters, one on linear spaces (Chapter 1) and another on normed spaces (Chapter 5), summarizing the background material required for a thorough understanding. The reader who has worked through this text will be well prepared to approach more advanced texts and additional literature on the subject..The book brings
Pindex Textbook 2023
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發(fā)表于 2025-3-22 00:02:32 | 只看該作者
Textbook 2023rontiers of exploration with tensor products. Tensor products, particularly in infinite-dimensional normed spaces, are heavily based on bilinear maps. The author brings these topics together by using bilinear maps as an auxiliary, yet fundamental, tool for accomplishing a consistent, useful, and str
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Energy Security and Territorial Disputesther than as a theorem for a specific realization, and this approach leads to an abstract notion of algebraic tensor products of linear spaces. The concrete standard forms will be shown in the next chapter to be interpretations of the axiomatic formulation. Tensor products are axiomatically defined as follows.
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Issues Decisive for China’s Rise or Fallmed quotient spaces. As in Chapter 1, the purpose here is to put together only those results necessary in the forthcoming chapters. Normed-space aspects of bilinear maps will be discussed in Chapter 6. Chapters 5 and 6 enable us to advance an axiomatic theory of tensor products of Banach spaces.
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Energy Security and Territorial Disputes space. Essentially, the attributes belonging to a norm on a tensor product space (of a pair of normed spaces over the same field) that make it suitable (the proper term will be “reasonable”) are the properties (a) and (b) in Theorem ..
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Bounded Bilinear Maps,h the notion of continuous bilinear maps. The final targets are extension theorems for bounded bilinear maps with norm preservation. As in the previous chapters, all linear spaces (and therefore all normed spaces) are over the same field.
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