Results 11 to 20 of about 343 (42)
, 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
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, 2009 An operator $G : \allowbreak X \to Y$ is said to be a Daugavet center if $\|G + T\| = \|G\| + \|T\|$ for every rank-1 operator $T : \allowbreak X \to Y$.
Bosenko, T., Kadets, V.
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Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete
, 2017 Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\l}czy\'nski's property ($V^\ast$).
Aharoni +42 more
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Approximation of Lipschitz Mappings [PDF]
, 2003 2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201 ...
Johanis, Michal
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The UMD constants of the summation operators
, 2004 The UMD property of a Banach space is one of the most useful properties when one thinks about possible applications. This is in particular due to the boundedness of the vector-valued Hilbert transform for functions with values in such a space.
Wenzel, Jörg
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An extension of James's compactness theorem [PDF]
, 2014 Let X and Y be Banach spaces and F a subset of B_{Y^*}. Endow Y with the topology \tau_F of pointwise convergence on F. Let T: X^* \to Y be a bounded linear operator which is (w^*, \tau_F) continuous.
Gasparis, Ioannis
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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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Unconditional bases and strictly convex dual renormings
, 2008 We present equivalent conditions for a space $X$ with an unconditional basis to admit an equivalent norm with a strictly convex dual ...
Smith, R. J., Troyanski, S.
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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