Functional Analysis and Distribution Theory

Related lectures (30)

Page 1 of 3

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Explores different notions of function equality, linear functionals, operations on distributions, and the advantages of working with Schwartz' space.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the definitions and properties of dual spaces and linear operators.

Introduces linear and bounded operators, compact operators, and the Banach space.

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.