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Results tagged with banach-spaces
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user 542628
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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Is smoothness preserved under an isometric isomorphism?
Let $(X, \|.\|_1)$ is isometrically isomorphic to $(X, \|.\|_2)$ and $\|.\|_2\leq \|.\|_1$. Assume that $x_0$ is a smooth point of $(X, \|.\|_1)$ and $\|x_0\|_2=1$. According to the definition of a sm …
- 113
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How to show a point is a weak* -weak continuous for the identity map on $X_1^*$ or on $X_1^{...
I am trying to understand the Remark 3.2 mentioned in the paper titled as "On Weak*
-Extreme Points in Banach Spaces" written by S. Dutta and T. S. S. R. K. Rao (http://library.isical.ac.in:8080/jspui …
- 113