Norms and Valuations on Fields

Related lectures (30)

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Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers essential concepts of vectors, norms, and their properties in linear algebra.

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

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

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Explores the standard form of isometries in R^n and the preservation of distances.

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 the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.