Lecture

Hilbert Spaces: Definition and Properties

Description

This lecture introduces Hilbert spaces as pre-Hilbert spaces, defined by a positive definite Hermitian form. It covers properties such as the Cauchy-Schwarz inequality, norm definition, and the parallelogram rule. Examples include function spaces and matrix spaces. The lecture also discusses examples of Banach spaces and demonstrates the completeness of a separable Hilbert space.

Official source

https://mediaspace.epfl.ch/media/0_xsob82lc

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Linear algebra

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