Compact operator

Related lectures (31)

Page 3 of 4

Explores the Banach-Steinhaus theorem and the Closed Graph Theorem.

Covers eigenvectors, spectral theorems, and finite sequences in functional analysis.

Covers the Hessian and Newton's method for optimization using iterative processes.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

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

Covers exercises on Schur's lemma and the Jacobi identity in Quantum Field Theory.

Explores the definition and properties of traces in functional analysis, emphasizing uniqueness and linear operators.

Explores the spectral theory of non-bounded operators and the importance of closed operators for spectral decomposition.

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

Covers properties and theorems related to compact and relatively compact operators, including the RAGE theorem and the Kato-Rellich theorem.