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Titlebook: Analysis Now; Gert K. Pedersen Textbook 1989 Springer Science+Business Media New York 1989 Gelfand representation.Hilbert space.calculus.

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发表于 2025-3-21 16:23:39 | 显示全部楼层 |阅读模式
期刊全称Analysis Now
影响因子2023Gert K. Pedersen
视频video
学科分类Graduate Texts in Mathematics
图书封面Titlebook: Analysis Now;  Gert K. Pedersen Textbook 1989 Springer Science+Business Media New York  1989 Gelfand representation.Hilbert space.calculus.
影响因子Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.
Pindex Textbook 1989
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发表于 2025-3-22 00:01:22 | 显示全部楼层
Textbook 1989al theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.
发表于 2025-3-22 02:30:16 | 显示全部楼层
0072-5285 enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms
发表于 2025-3-22 07:25:43 | 显示全部楼层
Digital Radio Systems on a Chipt often to infinite-dimensional spaces of functions, for which geometrical intuition is very hard to obtain. Topology allows us to reason in these situations as if the spaces were the familier two- and three-dimensional objects, but the process takes a little time to get used to.
发表于 2025-3-22 10:07:00 | 显示全部楼层
Spread-spectrum Communications,y of unbounded operators (and a good excuse would be that there is no theory, only myriads of examples). A small area of this vast territory—dealing with a single unbounded, self-adjoint (or, maybe, normal) operator in a Hilbert space—can, however, be cultivated by the spectral theory of bounded operators; and this we propose to do in some detail.
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发表于 2025-3-23 01:50:03 | 显示全部楼层
Spread-spectrum Communications, we devote only a single section to Hilbert spaces as such, centered around the notions of sesquilinear forms, orthogonality, and self-duality. We then develop the elementary theory of bounded linear operator on a Hilbert space ℌ, i.e. we initiate the study of the Banach *-algebra .(ℌ)—to be continued in later chapters.
发表于 2025-3-23 06:48:51 | 显示全部楼层
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