1:00:49Closed, open and countable sets. Separable spaces
A 61-minute video from Alexandr Usachev: “Closed, open and countable sets. Separable spaces”.
Alexandr Usachev
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1:00:49
53:15Compactness in metric spaces
A 53-minute video from Alexandr Usachev: “Compactness in metric spaces”.
1:42:27Complete spaces. Completion
A 102-minute video from Alexandr Usachev: “Complete spaces. Completion”.
41:09Completeness of factor space. Equivalent norms
A 41-minute video from Alexandr Usachev: “Completeness of factor space. Equivalent norms”.
59:21Examples of metric spaces
A 59-minute video from Alexandr Usachev: “Examples of metric spaces”.
44:58Fixed point principle
A 45-minute video from Alexandr Usachev: “Fixed point principle”.
43:52Geometric form of Hahn-Banach theorem
A 44-minute video from Alexandr Usachev: “Geometric form of Hahn-Banach theorem”.
34:59Inner product spaces. Orthogonality
A 35-minute video from Alexandr Usachev: “Inner product spaces. Orthogonality”.
1:00:30Introduction to functional analysis. Metric spaces. Examples
Intro
A 60-minute video from Alexandr Usachev: “Introduction to functional analysis. Metric spaces. Examples”.
49:40Invertible operators
A 50-minute video from Alexandr Usachev: “Invertible operators”.
36:53Linear functionals
A 37-minute video from Alexandr Usachev: “Linear functionals”.
47:58Linear operators
A 48-minute video from Alexandr Usachev: “Linear operators”.
49:09Normed linear spaces
A 49-minute video from Alexandr Usachev: “Normed linear spaces”.
1:14:45Open mapping, inverse mapping and closed graph theorems
A 75-minute video from Alexandr Usachev: “Open mapping, inverse mapping and closed graph theorems”.
51:20Orthogonal bases
A 51-minute video from Alexandr Usachev: “Orthogonal bases”.
42:17Orthogonal complement
A 42-minute video from Alexandr Usachev: “Orthogonal complement”.
1:27:46Singular Traces In Noncommutative Geometry And Analysis. Lecture 3
A 88-minute video from Alexandr Usachev: “Singular Traces In Noncommutative Geometry And Analysis. Lecture 3”.
1:10:34Singular traces in noncommutative geometry and analysis. Lecture 1.
A 71-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 1.”.
1:28:06Singular traces in noncommutative geometry and analysis. Lecture 2.
A 88-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 2.”.
1:18:00Singular traces in noncommutative geometry and analysis. Lecture 4
A 78-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 4”.
1:11:31Singular traces in noncommutative geometry and analysis. Lecture 5
A 72-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 5”.
1:06:38Singular traces in noncommutative geometry and analysis. Lecture 6
A 67-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 6”.
1:16:19Singular traces in noncommutative geometry and analysis. Lecture 7
A 76-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 7”.
1:03:06Singular traces in noncommutative geometry and analysis. Lecture 8
A 63-minute video from Alexandr Usachev: “Singular traces in noncommutative geometry and analysis. Lecture 8”.
46:18Space of linear operators
A 46-minute video from Alexandr Usachev: “Space of linear operators”.
52:39The Hahn-Banach Theorem
A 53-minute video from Alexandr Usachev: “The Hahn-Banach Theorem”.
49:16The second dual space
A 49-minute video from Alexandr Usachev: “The second dual space”.
33:21Uniform Boundedness Principle
A 33-minute video from Alexandr Usachev: “Uniform Boundedness Principle”.