Banach, Fréchet, Hilbert and Neumann Spaces, Volume 1

丛 书 名：Mathematics and statistics series

版本说明：1

作     者：Jacques Simon 

I S B N：(纸本) 9781786300096 

出 版 社：ISTE Ltd 

出 版 年：2017年

页      数：367页

主 题 词：seminormed comparison images mappings continuous properties metrizable compactness linear spaces subspace dual weak topology multivariable derivation one real variable functions 

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

馆 藏 号：201219711...

摘      要：This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics. Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces. The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.