Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Practice
Publications
Startups
Units
Show all results for
Home
Lecture
Vector Spaces and Convergence
Graph Chatbot
Related lectures (28)
Normed Spaces
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Normed Spaces: Definitions and Examples
Covers normed vector spaces, including definitions, properties, examples, and sets in normed spaces.
Differential Equations: Solutions and Periodicity
Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.
Properties of Weak Derivatives
Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.
Approximation by Smooth Functions
Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.
Normed Spaces & Reflexivity
Covers normed spaces, Banach spaces, and Hilbert spaces, as well as dual spaces and weak convergence.
Functional Analysis: Banach and Hilbert Spaces
Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.
Definition of Sobolew Spaces
Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.
Analysis: Recap and Normed Space R^n
Covers a recap of Analysis 1 and 2, emphasizing normed space R^n, subsets, and continuous functions.
Compact Embedding: Theorem and Sobolev Inequalities
Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.
Equivalent norms: properties and proofs
Explores equivalent norms in a vector space and their continuity properties, including proofs of norm equivalence.
Preliminaries in Measure Theory
Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Interpolation Spaces
Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.
Functional Analysis and Distribution Theory
Introduces functional analysis, distribution theory, topological vector spaces, and linear operators, emphasizing their importance in engineering applications.
Banach Spaces: Reflexivity and Convergence
Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.
Functional Analysis I: Operator Definitions
Introduces linear and bounded operators, compact operators, and the Banach space.
Euclidean Spaces: Properties and Concepts
Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.
Function Spaces and Hilbert Spaces
Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.
Advanced-analysis-ii
Explores advanced analysis topics, including Cauchy sequences, Banach spaces, and the Cauchy-Lipschitz theorem.
Vector Spaces and Topology
Covers vector spaces, topology, and proof methods like the pigeonhole principle in R^n.
Previous
Page 1 of 2
Next