Results 31 to 40 of about 377 (54)
, 1998 We investigate the best order of smoothness of $L^p(L^q)$. We prove in particular that there exists a $C^\infty$-smooth bump function on $L^p(L^q)$ if and only if $p$ and $q$ are both even integers and $p$ is a multiple of $q$.Comment: 18 pages; AMS ...
Deville, R. +2 more
core +1 more source
Equivalence after extension for compact operators on Banach spaces
, 2015 In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after extension implies equivalence after one-sided extension.
Messerschmidt, Miek +2 more
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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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Quasilinear mappings, M-ideals and polyhedra
, 2012 We survey the connection between two results from rather different areas: failure of the 3-space property for local convexity (and other properties) within the category of quasiBanach spaces, and the irreducibility (in the sense of Minkowski difference ...
D. Yost
semanticscholar +1 more source
Another low-technology estimate in convex geometry
, 1998 We give a short argument that for some C > 0, every n-dimensional Banach ball K admits a 256-round subquotient of dimension at least C n/(log n). This is a weak version of Milman's quotient of subspace theorem, which lacks the logarithmic factor.Comment:
Kuperberg, Greg
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Sums of SCD sets and their applications to SCD operators and narrow operators
Open Mathematics, 2010 Kadets Vladimir, Shepelska Varvara
doaj +1 more source
On asphericity of convex bodies in linear normed spaces. [PDF]
J Inequal Appl, 2018 Faried N, Morsy A, Hussein AM.
europepmc +1 more source
Approximation of the multiplicatives on random multi-normed space. [PDF]
J Inequal Appl, 2017 Agarwal RP, Saadati R, Salamati A.
europepmc +1 more source
A molecularly defined duplication set for the X chromosome of Drosophila melanogaster. [PDF]
Genetics, 2010 Venken KJ +8 more
europepmc +1 more source