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On the Transfinite Symmetric Strong Diameter Two Property
We study transfinite analogues of the symmetric strong diameter two property . We investigate the stability of these properties under
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Two Aspects of Small Diameter Properties
In this short note, we study two different geometrical aspects of Banach spaces with small diameter properties, namely the Ball Dentable Property...
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The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions
The utility of a matrix satisfying the Strong Spectral Property has been well established particularly in connection with the inverse eigenvalue...
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Banach spaces with the (strong) Gelfand–Phillips property
Several new characterizations of the Gelfand–Phillips property are given. We define a strong version of the Gelfand–Phillips property and prove that...
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Almost squareness and strong diameter two property in tensor product spaces
We study almost squareness and the strong diameter two property in the setting of projective (symmetric) tensor product of Banach spaces. We prove...
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Stability of diametral diameter two properties
We prove that the diametral diameter two properties are inherited by F -ideals (e.g., M -ideals). On the other hand, these properties are lifted from...
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Diameter two properties in some vector-valued function spaces
We introduce a vector-valued version of a uniform algebra, called the vector-valued function space over a uniform algebra. The diameter two...
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\({\bar \partial }\) on Complex Manifolds with Strong Donnelly–Fefferman Property
In this paper, we consider the L 2 -existence of the Cauchy–Riemann equation on weakly pseudoconvex manifolds with strong Donnelly–Fefferman property.
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\(\alpha _i\) -Metric Graphs: Radius, Diameter and all Eccentricities
We extend known results on chordal graphs and distance-hereditary graphs to much larger graph classes by using only a common metric property of these...
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Bounded-Diameter Tree-Decompositions
When does a graph admit a tree-decomposition in which every bag has small diameter? For finite graphs, this is a property of interest in algorithmic...
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Bernoulli property of subadditive equilibrium states
Under mild assumptions, we show that the unique subadditive equilibrium states for fiber-bunched cocycles are Bernoulli. We achieve this by showing...
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On the Schauder fixed point property II
The Schauder fixed point property ( F ) was introduced and studied by Lau and Zhang as a semigroup formulation in the general setting of convex spaces...
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Symmetric Strong Diameter Two Property
We study Banach spaces with the property that, given a finite number of slices of the unit ball, there exists a direction such that all these slices...
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On circuit diameter bounds via circuit imbalances
We study the circuit diameter of polyhedra, introduced by Borgwardt, Finhold, and Hemmecke (SIAM J. Discrete Math. 29 (1), 113–121 (2015)) as a...
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Strong boundedness of split Chevalley groups
This paper is concerned with the diameter of certain word norms on S-arithmetic split Chevalley groups. Such groups are well known to be boundedly...
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Diameter, width and thickness in the hyperbolic plane
In hyperbolic geometry there are several concepts to measure the breadth or width of a convex set. In the first part of the paper we collect them and...
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On the diameter of Cayley graphs of classical groups with generating sets containing a transvection
A well-known conjecture of Babai states that if G is any finite simple group and X is a generating set for G , then the diameter of the Cayley graph...
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The b-Gelfand–Phillips property for locally convex spaces
We extend the well-known Gelfand–Phillips property for Banach spaces to locally convex spaces, defining a locally convex space E to be b -Gelfand–Phill...
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Heat kernel for reflected diffusion and extension property on uniform domains
We study reflected diffusion on uniform domains where the underlying space admits a symmetric diffusion that satisfies sub-Gaussian heat kernel...
