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Results tagged with banach-spaces
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user 17261
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
6
votes
Perturbations of an operator that disconnect the spectrum
For Hilbert spaces, the conjecture follows from fact 4 and the answer to question Complement of a subspace which is a cartesian product applied to the kernel of the map $H\times H\ni (v,w) \mapsto Av …
- 2,753
8
votes
Projections in Banach spaces
Here a simple example :
Let X be the cartesian product of $L^{\infty}$ and $L^{1}$ on the
interval $[0,1]$, let $P_{t}$ the canonical projection on the subspace
of functions with support $[0,t]$ and …
- 2,753