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Results tagged with banach-spaces
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user 1272
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
1
vote
Point on a line nearest a point in Banach space
I do not know the answer, but I would suggest having a look at the book "Characterizations of inner product spaces" by Dan Amir, which features, who would have guessed, many many characterizations of …
6
votes
0
answers
2k
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Weak lower semi-continuity
Which conditions assure the weak lower semicontinuity of, say, an integral functional of the type
$F(u):=\int_\Omega f(u(x),Du(x))dx$ on $W^{1,2}(\Omega,\mathbb{R}^N)$ for a bounded, if you will eve …