The most important operator

In this video we look at the most important operator in all of operator theory, and this operator is the multiplication operator. We look at multiplication operators over reproducing kernel Hilbert Spaces, and we examine a connection with the Nevanlinna Pick Interpolation Theorem.

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0:00 Introduction
1:00 Multiplication Operators and Kernel Spaces
2:35 Bounding the Function
4:11 The Hardy Space of the Disc
5:45 Bounding the Operator
7:58 Multiplication Operators and the Nevanlinna Pick Theorem

[ashishKjr]

This one was pretty quick. Had I not learnt this topic, I don't think I would have been able to make sense of it.

It's amazing how an age old problem in Complex analysis opened an entire research area after Sarason approached it via the Commutant Lifting theorem.

[commonwombat-hr]

understood almost nothing, because these are the subjects unfamiliar to me, but still enjoyed the video. Thank you!

[avrahamvardakis]

Very informational .
Subscribed for the upcoming Real Analysis series !
Taking the course in September and plan on dweling in the analysis rigor and beauty I'm the summer break.

[alxlg]

Is L²(π) actually a notation? Why π and not 2π or τ?

[edal]

really? i thought the shift operator is the most important one