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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

8 votes
1 answer
583 views

Counterexample to Riesz representation for Hilbert modules

For a Hilbert space $H$, the Riesz representation theorem states that $H$ is isomorphic to its dual $H^*$ via $x \mapsto \langle x, -\rangle$. It is often stated in the literature that this does not …
InfiniteLooper's user avatar
1 vote

Homotopy equivalence of Kasparov's $KK$-Theory

It is really the same thing as for ordinary homotopy. Mainly a concatenation. I will write for a space $X$, $XB$ the algebra of continous functions from $X$ to $B$. All the other notations follow th …
InfiniteLooper's user avatar