Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Oikhberg, Timur"'
Autor:
Oikhberg, Timur, Tursi, Mary Angelica
Suppose $X$ is a locally compact Polish space, and $G$ is a group of lattice isometries of $C_0(X)$ which satisfies certain conditions. Then we can equip $C_0(X)$ with an equivalent lattice norm $| \! | \! | \cdot | \! | \! |$ so that $G$ is the grou
Externí odkaz:
http://arxiv.org/abs/2405.11148
We continue the study initiated in [F. Albiac and P. Wojtaszczyk, Characterization of $1$-greedy bases, J. Approx. Theory 138 (2006), no. 1, 65-86] of properties related to greedy bases in the case when the constants involved are sharp, i.e., in the
Externí odkaz:
http://arxiv.org/abs/2304.05888
Autor:
Oikhberg, Timur
We begin by describing the unit ball of the free $p$-convex Banach lattice over a Banach space $E$ (denoted by ${\mathrm{FBL}}^{(p)}[E]$) as a closed solid convex hull of an appropriate set. Based on it, we show that, if a Banach space $E$ has the $\
Externí odkaz:
http://arxiv.org/abs/2303.05209
The nonlinear geometry of operator spaces has recently started to be investigated. Many notions of nonlinear embeddability have been introduced so far, but, as noticed before by other authors, it was not clear whether they could be considered ``corre
Externí odkaz:
http://arxiv.org/abs/2211.11854
Publikováno v:
In Journal of Approximation Theory January 2024 297
Autor:
Oikhberg, Timur, Tursi, Mary Angelica
We prove that any separable AM-space $X$ has an equivalent lattice norm for which no non-trivial surjective lattice isometries exist. Moreover, if $X$ has no more than one atom, then this new norm may be an AM-norm. As our main tool, we introduce and
Externí odkaz:
http://arxiv.org/abs/2011.04140
Autor:
Oikhberg, Timur, Tursi, Mary Angelica
We consider the "order" analogues of some classical notions of Banach space geometry: extreme points and convex hulls. A Hahn-Banach type separation result is obtained, which allows us to establish an "order" Krein-Milman Theorem. We show that the un
Externí odkaz:
http://arxiv.org/abs/1907.00660
We establish estimates for the Lebesgue parameters of the Chebyshev Weak Thresholding Greedy Algorithm in the case of general bases in Banach spaces. These generalize and slightly improve earlier results in [9], and are complemented with examples sho
Externí odkaz:
http://arxiv.org/abs/1811.04268
Autor:
Oikhberg, Timur
We find large classes of injective and projective $p$-multinormed spaces. In fact, these classes are universal, in the sense that every $p$-multinormed space embeds into (is a quotient of) an injective (resp. projective) $p$-multinormed space. As a c
Externí odkaz:
http://arxiv.org/abs/1707.07640
Autor:
Oikhberg, Timur, Tradacete, Pedro
We study the stability of band preserving operators on Banach lattices. To this end the notion of $\varepsilon$-band preserving mapping is introduced. It is shown that, under quite general assumptions, a $\varepsilon$-band preserving operator is in f
Externí odkaz:
http://arxiv.org/abs/1610.02557