Mehmet Orhon

activity

20102024

most citedStrong Monotonicity of Spectral Radius of Positive Operators

6 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2024

Spectrum of Weighted Composition Operators. Part X. The spectrum and essential spectra of weighted automorphisms of the polydisc algebra

Arkady Kitover, Mehmet Orhon

We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra $A^{n}$ . In the case $n = 2$ we provide a detailed and, in most cases,…

math.FA2014

Weak Sequential Completeness in Banach $C (K)$ -modules of finite multiplicity

Arkady Kitover, Mehmet Orhon

A well known result of Lozanovsky states that a Banach lattice is weakly sequentially complete if and only if it does not contain a copy of $c_{0}$ . In the current paper we extend…

math.FA2014

Characterization of Riesz spaces with topologically full center

Şafak Alpay, Mehmet Orhon

Let $E$ be a Riesz space and let $E^{\sim}$ denote its order dual. The orthomorphisms $O r t h (E)$ on $E,$ and the ideal center $Z (E)$ of $E,$ are naturally embedded in $Orth(E^{\sim}…

math.FA2012★ 6 cited

Strong Monotonicity of Spectral Radius of Positive Operators

Donald W. Hadwin, Arkady K. Kitover, Mehmet Orhon

The classic result of Perron and Frobenius states that if $A$ and $B$ are matrices with nonnegative elements, such that $A \leq B$ , $A$ is irreducible, and $ρ (A) = ρ (B)$ then $A =…

math.FA2010

The ideal center of the dual of a Banach lattice