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Название: From Euclidean to Hilbert Spaces: Introduction to Functional Analysis and its Applications
Автор: Edoardo Provenzi
Издательство: ISTE and John Wiley & Sons
Год: 2021
Страниц: 355
Размер: 10,31 МБ
Формат: PDF
Язык: English
From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces.