Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Zsak, Andras"'
We investigate a random geometric graph model introduced by Bonato and Janssen. The vertices are the points of a countable dense set $S$ in a (necessarily separable) normed vector space $X$, and each pair of points are joined independently with some
Externí odkaz:
http://arxiv.org/abs/2409.04237
We formulate general conditions which imply that $L(X,Y)$, the space of operators from a Banach space $X$ to a Banach space $Y$, has $2^{\mathfrak c}$ closed ideals where $\mathfrak c$ is the cardinality of the continuum. These results are applied to
Externí odkaz:
http://arxiv.org/abs/2006.15415
We observe that embeddings into random metrics can be fruitfully used to study the $L_1$-embeddability of lamplighter graphs or groups, and more generally lamplighter metric spaces. Once this connection has been established, several new upper bound e
Externí odkaz:
http://arxiv.org/abs/2003.06093
In this article we start a systematic study of the bi-Lipschitz geometry of lamplighter graphs. We prove that lamplighter graphs over trees bi-Lipschitzly embed into Hamming cubes with distortion at most~$6$. It follows that lamplighter graphs over c
Externí odkaz:
http://arxiv.org/abs/1902.07098
We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.
Externí odkaz:
http://arxiv.org/abs/1705.10663
We prove that the spaces $\mathcal L(\ell_p,\mathrm{c}_0)$, $\mathcal L(\ell_p,\ell_\infty)$ and $\mathcal L(\ell_1,\ell_q)$ of operators with $1
Externí odkaz:
http://arxiv.org/abs/1612.01153
Autor:
Schlumprecht, Thomas, Zsák, András
We prove that in the reflexive range $1
Externí odkaz:
http://arxiv.org/abs/1409.3480
We prove two dichotomy theorems about sequences of operators into $L_1$ given by random matrices. In the second theorem we assume that the entries of each random matrix form a sequence of independent, symmetric random variables. Then the correspondin
Externí odkaz:
http://arxiv.org/abs/1009.2923
Publikováno v:
J.Math.Anal.Appl 348 (2008) 66-86
Let $(e_i)$ be a fundamental system of a Banach space. We consider the problem of approximating linear combinations of elements of this system by linear combinations using quantized coefficients. We will concentrate on systems which are possibly redu
Externí odkaz:
http://arxiv.org/abs/0711.2484