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Results tagged with banach-spaces
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user 11512
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Geometric implications of $\beta(B_X) = 2$
Let $X$ be an infinite-dimensional Banach space and $\beta$ denote Istrățescu's spreading measure of noncompactness, i.e. $$\beta(M) = \sup \{ \varepsilon > 0 \colon \exists_{(x_n)^{\mathbb N} \in X^{ …
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