Banach 22

This lecture ( banach22 ) was given on 10/16/09.

Excerpt

Proved results addressing the following question.  (e_j)_{j \in J} orthonormal set, and (c_j)_{j \in J} a family of scalar, when does \sum_J c_je_j converge?

Result: Every Hilbert space has an orthonomrla basis and any two o.n. bases have the same cardinality.

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