Functional Analysis 在線電子書 圖書標籤:
發表於2024-11-27
Functional Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of H?lder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.
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Functional Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024