Zobrazeno 1 - 10
of 66
pro vyhledávání: '"KITOVER, ARKADY"'
Autor:
Kitover, Arkady, Orhon, Mehmet
We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra $\mathbb{A}^n$. In the case $n=2$ we provide a detailed and, in most cases, complete description of these spectra.
Externí odkaz:
http://arxiv.org/abs/2404.17987
Autor:
Kitover, Arkady, Orhon, Mehmet
We obtain some results about the spectrum and the upper semi-Fredholm spectrum of weighted composition operators on uniform algebras, assuming that the corresponding map maps the Shilov boundary onto itself. In particular, it follows from our results
Externí odkaz:
http://arxiv.org/abs/2307.01112
Autor:
Kitover, Arkady, Orhon, Mehmet
Starting from the well-known and elementary problem of inscribing the rectangle of the greatest area in an ellipse, we look at possible, gradually more and more complicated variants of this problem. Our goal is to demonstrate to an average but motiva
Externí odkaz:
http://arxiv.org/abs/2306.08184
Autor:
Kitover, Arkady, Orhon, Mehmet
We characterize lower semi-Fredholm and Fredholm of weighted composition operators on $C(K)$ in the case when the corresponding map is an open surjection of the compact space $K$ onto itself. The obtained criterions involve the notion of almost homeo
Externí odkaz:
http://arxiv.org/abs/2202.03468
Autor:
Kitover, Arkady, Orhon, Mehmet
We provide a complete description of the spectrum and the essential spectra of weighted composition operators $T=wT_\varphi$ on $C(K)$ in the case when the map $\varphi$ is a non-invertible homeomorphism of $K$ into itself.
Comment: arXiv admin
Comment: arXiv admin
Externí odkaz:
http://arxiv.org/abs/2102.05205
Autor:
Kitover, Arkady, Orhon, Mehmet
We investigate properties of essential spectra of disjointness preserving operators acting on Banach $C(K)$-modules. In particular, we prove that under some very mild conditions the upper semi-Fredholm spectrum of such an operator is rotation invaria
Externí odkaz:
http://arxiv.org/abs/2009.09303
Autor:
Kitover, Arkady, Orhon, Mehmet
We introduce the class of weighted "rotation-like" operators and study general properties of essential spectra of such operators. Then we use this approach to investigate and in some cases completely describe essential spectra of weighted rotation op
Externí odkaz:
http://arxiv.org/abs/1905.04801
Autor:
Kitover, Arkady, Orhon, Mehmet
We extend the notions of Dedekind complete and sigma-Dedekind complete Banach lattices to Banach C(K)-modules. As our main result we prove for these modules an analogue of Lozanovsky's well known characterization of Banach lattices with order continu
Externí odkaz:
http://arxiv.org/abs/1812.05025
Autor:
Kitover, Arkady, Orhon, Mehmet
We extend the well-known criterion of Lotz for the dual Radon-Nikodym property (RNP) of Banach lattices to finitely generated Banach $C(K)$-modules and Banach $C(K)$-modules of finite multiplicity. Namely, we prove that if $X$ is a Banach space from
Externí odkaz:
http://arxiv.org/abs/1707.04655
Autor:
Kitover, Arkady, Orhon, Mehmet
Publikováno v:
In Indagationes Mathematicae March 2022 33(2):472-481
