Arkady Kitover

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20122025

most citedStrong Monotonicity of Spectral Radius of Positive Operators

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

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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.FA2012

Spectrum of Weighted Composition Operators. Part II. Weighted composition operators on subspaces of Banach lattices

Arkady Kitover

We describe the spectrum of weighted $d$ -isomorphisms of Banach lattices restricted on closed subspaces that are "rich" enough to preserve some "memory" of the order structure of t…

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 =…

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

Spectrum of Weighted Composition Operators. Part II. Weighted composition operators on subspaces of Banach lattices

Strong Monotonicity of Spectral Radius of Positive Operators

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