5 papers
Sherman-Takeda type theorems for locally C*-algebras
Lav Kumar Singh, Aljoša Peperko
In this article, we will first establish some density results for a locally -algebra and then identify a property, called Kaplansky density property (KDP). We the…
Calculating the sequences behind a hexagonal lattice based equal circle packing in the Euclidian plane
Jure Voglar, Aljoša Peperko
The article presents the mathematical sequences describing circle packing densities in four different geometric configurations involving a hexagonal lattice based equal circle pack…
Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces
Katarina Bogdanović, Aljoša Peperko
We prove new inequalities for the spectral radius, essential spectral radius, operator norm, measure of noncompactness and numerical radius of Hadamard weighted geometric means of…
Uniform boundedness principle for non-linear operators on cones of functions
Aljoša Peperko
We prove an uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous and subadditive mappings on suitable cones of functions. The re…
Lower spectral radius and spectral mapping theorem for suprema preserving mappings
Vladimir Müller, Aljoša Peperko
We study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice. We prove that the lower spe…