Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Aksoy, Asuman GÜven"'
This paper defines and establishes relations among approximation spaces of certain operators called \textit{H-operators}, which generalize the notion of self-adjoint to Banach spaces.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2306.03633
We investigate an extension of Schauder's theorem by studying the relationship between various $s$-numbers of an operator $T$ and its adjoint $T^*$. We have three main results. First, we present a new proof that the approximation number of $T$ and $T
Externí odkaz:
http://arxiv.org/abs/2306.03629
We study the decomposability of a finite Blaschke product $B$ of degree $2^n$ into $n$ degree-$2$ Blaschke products, examining the connections between Blaschke products, the elliptical range theorem, Poncelet theorem, and the monodromy group. We show
Externí odkaz:
http://arxiv.org/abs/2206.07466
We investigate isometric embeddings of finite metric trees into $(\mathbb{R}^n,d_{1})$ and $( \mathbb{R}^n, d_{\infty})$. We prove that a finite metric tree can be isometrically embedded into $(\mathbb{R}^n,d_{1})$ if and only if the number of its le
Externí odkaz:
http://arxiv.org/abs/2002.00062
Autor:
Aksoy, Asuman Güven, Peng, Qidi
In this paper, we prove the equivalence of reflexive Banach spaces and those Banach spaces which satisfy the following form of Bernstein's Lethargy Theorem. Let $X$ be an arbitrary infinite-dimensional Banach space, and let the real-valued sequence $
Externí odkaz:
http://arxiv.org/abs/1803.09874
Autor:
Aksoy, Asuman Güven
In this paper, we examine the aptly-named "Lethargy Theorem" of Bernstein and survey its recent extensions. We show that one of these extensions shrinks the interval for best approximation by half while the other gives a surprising connection to the
Externí odkaz:
http://arxiv.org/abs/1803.09869
It is known that the $\tilde j$-metric, half-apollonian metric and scale-invariant Cassinian metric are not Gromov hyperbolic. These metrics are defined as a supremum of one-point metrics (i.e., metrics constructed using one boundary point) and the s
Externí odkaz:
http://arxiv.org/abs/1709.04063
In this paper, we consider a condition on subspaces in order to improve bounds given in the Bernstein's Lethargy Theorem (BLT) for Banach spaces. Let $d_1 \geq d_2 \geq \dots d_n \geq \dots > 0$ be an infinite sequence of numbers converging to $0$, a
Externí odkaz:
http://arxiv.org/abs/1606.07977
Publikováno v:
Proceedings of the American Mathematical Society, 2018 Dec 01. 146(12), 5205-5218.
Externí odkaz:
https://www.jstor.org/stable/90026455
Autor:
Aksoy, Asuman Güven, Lewicki, Grzegorz
We improve upon on a limit theorem for numerical index for large classes of Banach spaces including vector valued $\ell_p$-spaces and $\ell_p$-sums of Banach spaces where $1\leq p \leq \infty$. We first prove $ n_1(X) = \displaystyle \lim_m n_1(X_m)$
Externí odkaz:
http://arxiv.org/abs/1106.4822