Functional Analysis - 36 || Closed Graph Theorem || Statement and Proof

My dear maths is a YouTube Channel for mathematics. In this channel you can find full syllabus and discussion regarding mathematics B. Sc. and M. Sc. Mathematics. The main playlists of the channel are as follows: Functional analysis part-1 https://www.youtube.com/watch?v=bgQ7Wn-etK0&list=PLbPKXd6I4z1kH9eG19yVo6sPCmyDl9md2 Functional Analysis Paart - 2 https://www.youtube.com/watch?v=zdO4Fe_r4io&list=PLbPKXd6I4z1kX0VGoD6McNrp2-PdEJqvk Real Analysis https://www.youtube.com/watch?v=uPFhqROyblY&list=PLbPKXd6I4z1lDzOORpjFk-hXtRdINN7Bg Abstract Algebra https://www.youtube.com/watch?v=JEOTeDp5ENw&list=PLbPKXd6I4z1kvzPCBz_PqibgJb2xsyhAf Metric Space https://www.youtube.com/watch?v=Mg2lhq7jSKE&list=PLbPKXd6I4z1mt_4561FzBJ4rmBGWz579f Limits and properties https://www.youtube.com/watch?v=tmiuiMKrV9Q&list=PLbPKXd6I4z1kq89hcX5KRyb-FViyGBHDh Topological preliminaries of real numbers https://www.youtube.com/watch?v=uPFhqROyblY&list=PLbPKXd6I4z1lJ4u53jcVni__UHARbu0Kd Countable sets https://www.youtube.com/watch?v=GNoan1wcZS0&list=PLbPKXd6I4z1m2n0b1zOkBsqFhAOvcIwzF Real sequences https://www.youtube.com/watch?v=0CvndweX7sA&list=PLbPKXd6I4z1mbZ8erLNIWfn5O4QGbQPMh Convergence of series https://www.youtube.com/watch?v=6RNs96SBFFc&list=PLbPKXd6I4z1n7Eu97bgGjiUUo47uhRdb8 CSIR NET Solutions https://www.youtube.com/watch?v=GbZh8PjFzro&list=PLbPKXd6I4z1mbwe-vWvVOxS1wbCSrcsqc https://www.youtube.com/watch?v=p0K4rVMY32M&list=PLbPKXd6I4z1lhLLROevAEbOazc1_TWXkB Continuous functions https://www.youtube.com/watch?v=hetmNltv4ok&list=PLbPKXd6I4z1kT7kfGX5f9WZScVS5ZT-Bf Differential geometry https://www.youtube.com/watch?v=UrFXZwCWCxM&list=PLbPKXd6I4z1nbjCtf50xF0JCi3aX2Cg1u Graphs of elementary functions https://www.youtube.com/watch?v=pLQicYrdsdg&list=PLbPKXd6I4z1kunzGxA_suMM0N4kPgRleI Polar coordinate geometry https://www.youtube.com/watch?v=pZcF9wfYbXw&list=PLbPKXd6I4z1mjy-ZaP5xIz2vERKi0icqm Maths Fun https://www.youtube.com/watch?v=XsBh8iHF0VU&list=PLbPKXd6I4z1kYMLbsF95Kzji5dkgFLaxP