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A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.

2 votes

Can an accumulation point be an eigenvalue?

The spectrum consists of all values $\lambda$ for which $T-\lambda I$ does not have a continuous inverse. Eigenvalues always lie in the spectrum, but some of the values in the spectrum may not be eige …
Harm Derksen's user avatar