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I started off with Zettilis Quantum Mechanics .... after being half way through D.Griffiths ..... Now Zettilis precisely defines what a Hibert space is and it includes the Cauchy sequence and convergence of the same ..... is there any proof for the same for square integrable functions as he skips the same in the book .....

The second question he says Ʃ|θn><θn| = I where I stands for the operator .... now is this not going to infinity and please suggest some text on operators from scratch .... Thanks

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# Square integrable functions - Hilbert space and light on Dirac Notation

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