Linear Operators (IFA21 Video 8)

preview_player
Показать описание
Complete lecture notes and slides of the lecture are available at:

Topics of the lecture:
- Definition of a linear operator between normed spaces
- Bounded linear operators and continuity
- Examples: Point evaluation of continuous functions, integral operators and differential operators

Part of the online course "Introduction to Functional Analysis" at Tampere University, January--February 2021 (Week 3, Video 8).

Lecture given by
  1. Lassi Paunonen
Рекомендации по теме
Linear Operators (IFA21 0:14:33

Linear Operators (IFA21 Video 8)

Spectral Theory - 0:04:25

Spectral Theory - Module III - 8 .1. 1 Definition (Compact Linear Operators)

#8: Spectral properties 0:08:30

#8: Spectral properties of bounded linear operators-I

Spectrum of a 0:17:07

Spectrum of a Compact Operator (IFA21 Video 18)

Functional Analysis The 0:35:39

Functional Analysis The linear operator Lec 8

The Spectral Theorem 0:18:40

The Spectral Theorem for Compact Self-Adjoint Operators (IFA21 Video 19)

Spectrum of a 0:14:09

Spectrum of a Self-Adjoint Operator (IFA21 Video 17)

Properties of the 0:15:04

Properties of the Spectrum (IFA21 Video 16)

The Spectrum of 0:22:06

The Spectrum of a Bounded Operator (IFA21 Video 15)

Linear Operator |Check 0:23:00

Linear Operator |Check linearity of Differential, Integral Operator, Trignometric, Inverse operator

Section I.2 Linear 0:20:09

Section I.2 Linear operators

Dual Spaces (IFA21 0:14:30

Dual Spaces (IFA21 Video 11)

Functional Analysis - 0:06:44

Functional Analysis - Unit II - 2.7.6 Integral Operator (Example for Bounded Linear Operator)

#32: Compact linear 0:12:28

#32: Compact linear extension of compact operator

Linear Operator in 0:17:26

Linear Operator in Normed Space.

Completeness and Banach 0:14:43

Completeness and Banach Spaces (IFA21 Video 4)

#31: Separability of 0:07:07

#31: Separability of range of compact linear operator

Oh shift ! 0:17:41

Oh shift !

lec10def of norm 0:13:56

lec10def of norm of continuous linear transformation nd composition of bdd operator is a bdd oper

Spectral Theory - 0:09:01

Spectral Theory - Module II - 7 .2. 3 Lemma (Domain of R_{\lambda})

A Hilbert Schmidt 0:19:53

A Hilbert Schmidt operator is compact

state and prove 0:01:32

state and prove Null space theorem let it be a compact linear operator on a normed space X m.sc sem

Math539 Lect19 Part4 0:09:35

Math539 Lect19 Part4

Functional Analysis | 0:34:50

Functional Analysis | Theorem on the space of Bounded linear Operator is a normed space |Mrs Cheema