Banach Spaces Courses and Certifications

Friedrich–Alexander University Erlangen–Nürnberg

Quantum Theory

Comprehensive exploration of quantum mechanics, covering axioms, mathematical foundations, operators, spectra, and applications like spin and harmonic oscillators. Ideal for advanced physics students.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Online Course

Alan Turing Institute

The Mother of All Representer Theorems for Inverse Problems and Machine Learning - Michael Unser

Explore the mathematical foundations of inverse problems and machine learning, focusing on representer theorems, Banach spaces, and kernel methods for advanced data science applications.

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

Society for Industrial and Applied Mathematics

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

Explore nonlinear spectral decompositions in imaging and inverse problems, covering variational theory, applications, and computational methods for nonlinear eigenfunctions.

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

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 Online Course

Hausdorff Center for Mathematics

Hajime Ishihara - The Constructive Hahn Banach Theorem, Revisited

Explores constructive versions of the Hahn-Banach theorem, focusing on separation and extension theorems. Discusses geometric properties, subderivatives, and Gâteaux derivatives in functional analysis.

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

Applied Algebraic Topology Network

Isoperimetric Inequality for Hausdorff Contents and Its Applications

Explore isoperimetric inequality for Hausdorff contents, its applications in systolic geometry, and new systolic inequalities for non-simply connected Riemannian manifolds.

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

Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 2, Part 2

Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.

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

Fields Institute

Hardy Spaces Mini-Course and Workshop - Part 1

Explore Hardy Spaces with expert Javad Mashreghi in this focused workshop, covering key concepts and applications in analytic function theory.

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

Society for Industrial and Applied Mathematics

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

Explore nonlinear spectral decompositions in imaging and inverse problems, focusing on variational theory and applications in data science, with computational methods discussed.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Composition Semigroups on Analytic Spaces of the Upper Half Plane

Explore continuous semigroups of composition operators on analytic spaces, examining generators, spectra, and resolvents. Gain insights into norm and spectral properties of integral operators.

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

École Centrale Paris

An Introduction to Functional Analysis

4 reviews

Explore topology, convergence, and function spaces in mathematics. Master concepts like Banach and Hilbert spaces, Riesz theorem, and Sobolev spaces. Apply knowledge to numerical simulations and PDEs.

• Coursera
• 8 weeks, 6-8 hours a week
• Finished
• Free Online Course (Audit)

IMSC;  NPTEL

FUNCTIONAL ANALYSIS

Comprehensive exploration of functional analysis, covering normed linear spaces, Banach and Hilbert spaces, weak topologies, and key theorems with applications in mathematics and partial differential equations.

• Swayam
• 15 weeks
• Finished
• Free Online Course