bio | website | math.tamu.edu/~johnson |
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location | Texas A&M | |
age | ||
visits | member for | 5 years, 3 months |
seen | 1 hour ago | |
stats | profile views | 9,806 |
Distinguished Professor of Mathematics at Texas A&M University
Mar 25 |
comment |
reflexive banach space
Thanks, Tim; I corrected. |
Mar 25 |
revised |
reflexive banach space
Corrected typo spelling. |
Mar 24 |
answered | reflexive banach space |
Mar 24 |
comment |
reflexive banach space
OK, I turned it into an answer now that the question has been reopened. |
Mar 24 |
revised |
reflexive banach space
Added tag to bump this question because there is a good answer that I put in a comment. |
Mar 24 |
comment |
reflexive banach space
A separable Banach space is reflexive iff there is an equivalent norm on the space s.t. whenever $(x_n)$ is a bounded sequence for which $\lim_n \lim_m \|x_n + x_m\| = 2 \lim_n \|x_n\|$, the sequence $(x_n)$ converges. |
Mar 24 |
comment |
reflexive banach space
There is a beautiful result of Odell and Schlumprecht that gives an answer to this question for separable Banach spaces.Odell, E.(1-TX); Schlumprecht, Th.(1-TXAM) Asymptotic properties of Banach spaces under renormings. (English summary) J. Amer. Math. Soc. 11 (1998), no. 1, 175–188. |
Mar 24 |
comment |
Uninteresting questions with interesting answers
Is this the easiest proof that $\pi < 22/7$? :) |
Mar 22 |
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A convex analysis theorem improvement
Sure, if the norm generated by the body has good properties such as type. For example, if the resulting space embeds into $L_p$ isometrically the upper estimate is $n^{|1/p - 1/2|}$ (result of D. R. Lewis). |
Mar 22 |
answered | A question in Banach space |
Mar 21 |
comment |
A convex analysis theorem improvement
The cube witnesses that it is sharp. Look at Chapter 12 in the book by Albiac and Kalton, or, for more, consult Nicole Tomczak-Jaegermann's book. |
Mar 19 |
comment |
How many subsets of $[0,1)$ are there modulo null sets?
Vote up this comment if you (as I) think that JDH should NOT delete his answer. |
Mar 18 |
answered | Infinite direct sum of $l_2^{(n_k)}$ contains a complemented isometric copy of $l_2$ |
Mar 18 |
comment |
Images of $\{0,1\}^\kappa$
It is worth noting that every compact Hausdorff space is the continuous image of a closed subset of some product of $\{0,1\}$. You can find this in standard books; in particularly, Kelley's "General Topology". |
Mar 6 |
answered | Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric? |
Mar 4 |
awarded | Enlightened |
Mar 4 |
awarded | Nice Answer |
Mar 1 |
revised |
Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric?
Added missing phrase |
Feb 28 |
revised |
Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric?
Added reference |
Feb 28 |
answered | Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric? |