Operator Theory Courses and Certifications

International Mathematical Union

Gideon Schechtman - The Number of Closed Ideals in the Alg. of Bounded Operators on Lebesgue Spaces

Explore the intricacies of closed ideals in bounded operators on Lebesgue spaces, delving into advanced mathematical concepts and their implications in functional analysis.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Fields Institute

Mini-course on Non-Commutative Function Theory - Part 1

Explore non-commutative function theory fundamentals in this concise lecture, covering key concepts and applications in advanced mathematical analysis.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Fields Institute

Weighted Theory of Toeplitz Operators on the Bergman Space

Explore advanced mathematical concepts in Toeplitz operators and Bergman spaces, focusing on weighted theory and its applications in complex analysis.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Fields Institute

Mini-Course on Truncated Toeplitz Operators - Part 1

Explore truncated toeplitz operators in this comprehensive lecture by Emmanuel Fricain, delving into advanced mathematical concepts and their applications in analytic function spaces.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Fields Institute

A Volterra-Type Operator on Hardy Spaces and Multiplication Operators on Analytic Tent Spaces

Explore Volterra-type operators on Hardy spaces and multiplication operators on analytic tent spaces in this advanced mathematical analysis presentation.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Fields Institute

Cyclicity Preserving Operators on Spaces of Analytic Functions

Explore cyclicity preserving operators in analytic function spaces, examining their properties and applications in complex analysis and operator theory.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Fields Institute

Mini-course on Operators on Function Spaces - Part 2

Explore advanced concepts in function spaces, including multiplication operators, Toeplitz operators, and the unilateral shift, with applications in complex analysis and operator theory.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Fields Institute

Mini-course on Operators on Function Spaces - Part 1

Explore operators on function spaces, focusing on the Volterra operator's properties, spectrum, and related concepts in functional analysis.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Fields Institute

Hilbert Matrix Operator on Bergman-Type Spaces

Explore the Hilbert matrix operator's behavior on various analytic function spaces, including Hardy, Bergman, and Besov spaces, with applications in complex analysis.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Fields Institute

The Hochschild Cohomology of Uniform Roe Algebras

Explores Hochschild cohomology of uniform Roe algebras, discussing bounded derivations, vanishing conditions, and connections between norm-continuous and ultraweak-weak* continuous cohomology.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

R-Sectorial Operators and Maximal Regularity

Explore $\mathscr{R}$-sectorial operators and maximal regularity in this mathematical conference talk, delving into advanced harmonic analysis techniques for elliptic operators.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Schoenberg Correspondence and Semigroup of k-(super)positive Operators

Explore Schoenberg correspondence and semigroups of k-(super)positive operators, extending LKGS theorem to characterize generators of various positive maps in quantum information theory.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Schmid College, Chapman University

Toeplitz Operators on the Bergman Space

Explore Toeplitz operators on Bergman space, covering commutative C*-algebras, non-semisimple Banach algebras, and non-commutative C*-algebras with invariant symbols under biholomorphic actions.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Corona Rigidity in Operator Theory and C*-Algebras

Explore corona rigidity in operator theory, examining extensions of Weyl-von Neumann theorem and its implications for C*-algebras, Calkin algebra, and isomorphisms of quotients.

• YouTube
• 57 minutes
• On-Demand
• Free Video

The Bright Side of Mathematics

Functional Analysis

Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video