Normed vector space

Related lectures (25)

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Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers normed spaces, Banach spaces, and Hilbert spaces, as well as dual spaces and weak convergence.

Covers strategies for matrix operations and the concept of vector spaces.

Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.

Covers normed vector spaces, including definitions, properties, examples, and sets in normed spaces.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Covers vector spaces, differentiable functions, scalar product, and norms in depth.

Explains bases and dimension in vector spaces, covering generative and free families, isomorphism, and key theorems.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Explores equivalent norms in a vector space and their continuity properties, including proofs of norm equivalence.