Lecture

Hilbert Space: Geometry, Bases

In course

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Description

This lecture covers the concept of Hilbert space, focusing on scalar product, geometry, and bases. It explains the properties of Hilbert spaces and their applications in mathematical analysis, emphasizing the importance of orthomormal systems. The lecture also delves into complex functions and polarization identities within Hilbert spaces, showcasing their significance in quantum mechanics. Additionally, it discusses separable spaces and the construction of countable bases, providing a comprehensive understanding of the topic.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_ykawhczz

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis, Complex analysis

Algebra: Linear algebra

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