bio  website  math.tamu.edu/~johnson 

location  Texas A&M  
age  
visits  member for  5 years 
seen  36 mins ago  
stats  profile views  9,440 
Distinguished Professor of Mathematics at Texas A&M University
2d

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Dual of predual of BV
See Pełczyński, Aleksander; Wojciechowski, Michał Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure. J. Reine Angew. Math. 558 (2003), 109–157. I cannot access the paper right now, but I think it contains the information you seek. 
Dec 18 
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Uniformly bounded operator family and pointwise convergence
If $f_n \to f$ a.e. and $\f_n\_p \to \f\_p$ then $\ff_n\_p \to 0$ for any $p<\infty$. This is problem 6.10 in Folland's Real Analysis and is in many other RA books. Clarkson is not needed for the proof. 
Dec 15 
answered  Rademacher type of a Banach space is always less than or equal to 2 
Dec 13 
awarded  Yearling 
Nov 30 
awarded  Nice Answer 
Nov 28 
comment 
Reflexive subspaces of nonseparable abstract $L_1$ spaces
Nice, Tomek. I missed that even after using Maharam's theorem recently. 
Nov 28 
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Bounded operator on a normed space with empty spectrum
Your clarification of "spectrum" was essential, since every bounded operator on a normed space has an approximate eigenvalue. 
Nov 27 
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Reflexive subspaces of nonseparable abstract $L_1$ spaces
$\ell_p(I)$ is easy, because $L_1[0,1]^I$ obviously contains an IID family of size $I$ of $p$stable random variables. If the classical approach for embedding $L_p[0,1]$ into $L_1[0,1]$ does not obviously generalize, try the approach that Maurey, Schechtman, and I used in our Memoirs. 
Nov 19 
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Contractively complemented subspaces of $c_0(I)$
Why did not not correct the other three mistakes, Yemon? :) 
Nov 4 
revised 
James $\ell_1$theorem
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Nov 4 
answered  James $\ell_1$theorem 
Nov 2 
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Existence of a mapping in a nonseparable Banach space
Why are you interested in having such a map? 
Oct 29 
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Triangle inequality for $L^1$norm with respect to a state
Have you read the PisierXu article in the Handbook of the Geometry of Banach Spaces? It is online: $$ $$ dmitripavlov.org/scans/pisierxu.pdf 
Oct 29 
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CBnorm of mappings from a matrix space
Did you ask Gilles? He does not follow MO as far as I know. 
Oct 26 
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Generalised “projection” of a metric space
We've all been there, J. Fabian. I hope you did not my "joke" answer, which was the most complicated proof I saw off the top of my head. I was hoping that someone would suggest eliminating the axiom of choice by quoting the non linear HahnBanach theorem instead of the HahnBanach theorem, but apparently no one else was in a jovial mood. 
Oct 26 
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Generalised “projection” of a metric space
IMO, as a simple answer one should give $f(x) = d(x,p_0)$. 
Oct 25 
answered  Generalised “projection” of a metric space 
Oct 23 
awarded  Enlightened 
Oct 23 
awarded  Nice Answer 
Oct 21 
revised 
A lower bound on $\\cdot\_{p_{\ast}}$ image of $\ell^{q_{\ast}}$ vectors
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