Operator Theory Courses and Certifications

The Bright Side of Mathematics

Functional Analysis

Dive into Functional Analysis with The Bright Side of Mathematics. Learn about metric spaces, Banach spaces, Hilbert spaces, bounded operators, and spectral theory in 4-5 hours.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Gabor Analysis and Its Mysteries

Explore Gabor analysis, its applications in signal processing, and its mathematical structure in this 1-2 hour lecture by the Hausdorff Center for Mathematics.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

Fields Institute

Wold Decompositions for Representations of C-Algebras Associated with Noncommutative Varieties

Explore Wold decompositions for C*-algebras associated with noncommutative varieties in this short program by Fields Institute. Dive into multivariable cases, Berezin kernels, and classifications.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

Fields Institute

Blaschke Products and the Crouzeix Conjecture

Dive into Blaschke products and the Crouzeix conjecture with this short program by Fields Institute. Explore numerical ranges, operator theory, and Sarason's 1967 work.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Fields Institute

Hilbert Matrix Operator on Bergman-Type Spaces

Explore Hilbert matrix operations on Bergman-type spaces in this short program by Fields Institute. Dive into Hardy spaces, mixed norm spaces, and more.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Fields Institute

The Hochschild Cohomology of Uniform Roe Algebras

Explore the Hochschild cohomology of Uniform Roe Algebras with the Fields Institute. Understand bounded derivations, multimodular maps, and necessary conditions for cohomology vanishing.

• YouTube
• 39 minutes
• On-Demand
• Free Online Course

Fields Institute

Weighted Theory of Toeplitz Operators on the Bergman Space

Learn the weighted theory of Toeplitz operators on the Bergman space in less than an hour with Nathan Wagner from Washington University, offered by Fields Institute.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Fields Institute

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

Explore Volterra-Type Operator on Hardy Spaces and Multiplication Operators on Analytic Tent Spaces with Fields Institute in under an hour.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Fields Institute

Cyclicity Preserving Operators on Spaces of Analytic Functions

Explore cyclicity preserving operators in analytic functions with Jeet Sampat from Washington University in a short, intensive session offered by Fields Institute.

• YouTube
• 27 minutes
• On-Demand
• Free Online Course

International Mathematical Union

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

Dive into algebraic operations on Lebesgue spaces with Gideon Schechtman's presentation, offered by the International Mathematical Union. Less than an hour's commitment.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

IIT Hyderabad;  NPTEL

Operator Theory

Explore the spectral theory of normal operators with IIT Hyderabad's 12-week course. Ideal for M.Sc Mathematics II Year and Ph.D. first-year students.

• Swayam
• 12 weeks
• Finished
• Free Online Course