Banach Spaces part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Banach Spaces; 06:30 - Cauchy Sequences; 12:00 - Def: Banach Space; 15:45 - Examples; 17:15 - C[A,B] Is Banach With Proof; 36:30 - Ex: Sequence Space L^1(N); 46:45 - Sequence Space L^p(N);

[maitrelame]

This lecture series saved my life, I was so confused you made everything clear, thank you professor!

[tejasnatu]

It's a good lecture series for specially those who have studied rather pure functional analysis and now wanna look at concrete applications..

[TheMagicwnz]

Excellent lecture. Very clear, even I can understand!

[matron]

Thank you! Amazing lecture on this topic.

[ghazalfaris]

If u cannot guess what v should be in [v - v]
11:28 In many cases banach spaces we want exactly opposite not always 17:43 banach with a simple norm [don't do that now]
Some function sitting in the space
F - fk =0 at inf
Now it's functions and functions

26:07 it's less than epsilon

33:41 infinity norm = max[] <epsilon

40:37 sum or all sequences to a max number is less than infinity
Hence k is convergent
To power 1 of course
47:51 next time more generalized

If condition is power p

[mithatkursatkaplan]

I learned all the necessary information.Thank u so much :)

[Carolchan]

very nice lecture! I hope I can have a lecturer like this!!!

[Artus]

Thank you so much. The lecture is very clear.

[Ahidousmoderne]

I have a licence mathématiques appliquées in morocco we study this lesson and also Complet Space, helbirt Space...etc
Banach Space = espace vectoriel normé complet.

[zapazap]

So is a lecture recapitulating the notion of a Cauchy sequence from one's first analysis course to be expected in all later analysis courses?

[YuanwenHuang]

yeap, very good video, very good instructor!

[Circuito]

Is it possible to know from which book this lecture is from or which is the text used during this course? Also which course is this? In Italy Banach spaces are teached during Analisi matematica 3 which corresponds to calculus in English; is it the same in other countries?

[mikecohen]

excellent; thank-you. A minor point: < means less than not more.

[thepacifier]

Where/How can we get the solution manual for his book? There are good questions at the end of the chapters.

[jppereyra]

Fantastic Mr Ore is the best ever lecturer I have saw so far, is any long distant subjects for postgraduate students in the University he teach?

[ermenleu]

@ 36:35 Imagine this man could have been a useful window washer ... ; )

[franzarviclivia]

f in C[a b] ...What's book? (Th. 1.6.6)

[kparag]

What are prerequisites for this class?

[khadimsarr]

Thanks you very much we have understook banach spaces thank to you
I am in licence of mathematic that's why it very good for us
if i have a advice to give that's keep going to put these view
we are everything with you

[pedroduarte]

The lecture seems to be elementary but instructive and very intuitive. This lecture does not seem to be very mathematical rigorous. Could someone tell me if this lecture is as mathematical rigorous as graduate mathematics lecture for mathematicians or is more like for physicists?