Functional Analysis I: Closed Operators

Related lectures (32)

Page 3 of 4

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Introduces Hilbert operators, covering their properties, C*-algebras, and the Fourier transform's unitarity.

Covers the fundamental concepts of unbounded operators in quantum physics, focusing on defining a functional calculus and spectral decomposition.

Covers the foundations of modern analysis, introductory functional analysis, and applications in MAB111.

Covers the review of function spaces and explores the concept of compact operators.

Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.

Covers the existence and uniqueness of direct sums in abelian groups.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.