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The Newton polytope and Lorentzian property of chromatic symmetric functions
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are...
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A remake of Bourgain–Brezis–Mironescu characterization of Sobolev spaces
We introduce a large class of concentrated p -Lévy integrable functions approximating the unity, which serves as the core tool from which we provide a...
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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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Weak fixed point property for a Banach lattice of some compact operator spaces
According to the three concepts, weak orthogonality, WORTH property and non-strictly Opial condition in Banach spaces, the disjoint (positive)...
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The maximal regularity property of abstract integrodifferential equations
We provide a convenient framework for the study of the well-posedness of a variety of abstract (integro)differential equations in general Banach...
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Supplement to “Metric Characterization of Projective-Metric Spaces”
This chapter is a supplement to the chapter “Metric Characterization of Projective-metric Spaces” and has no other goal than providing step-by-step...
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Universal approximation property of a continuous neural network based on a nonlinear diffusion equation
Recently, differential equation-based neural networks have been actively studied. This paper discusses the universal approximation property of a...
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An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
We derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function. Here, the main tools used are the so-called...
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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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A Complete Characterization of Multivariate Normal Stable Tweedie Models through a Monge—Ampère Property
Extending normal gamma and normal inverse Gaussian models, multivariate normal stable Tweedie (NST) models are composed by a fixed univariate stable...
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Some remarks on Phelps property U of a Banach space into C(K) spaces
A subspace X of a Banach space Y has Property U whenever every continuous linear functional on X has a unique norm-preserving (i.e., Hahn–Banach)...
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Some New Families of Noncorona Graphs with Strong Anti-Reciprocal Eigenvalue Property
Let G be a simple graph and A ( G ) be its adjacency matrix. We say that the graph G satisfies reciprocal eigenvalue property (or simply, property (R))...
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The Lipschitz bounded approximation property for operator ideals
In this article, we introduce the Lipschitz bounded approximation property for operator ideals. With this notion, we extend the original work of...
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Boundary Points, Minimal L2 Integrals and Concavity Property III—Linearity on Riemann Surfaces and Fibrations over Open Riemann Surfaces
In this article, we consider a modified version of minimal L 2 integrals on sublevel sets of plurisubharmonic functions related to modules at boundary...
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Sets with the Property \(D(n)\)
This chapter is devoted to the generalization of the notion of Diophantine m-tuples in which the condition that...
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Characterization of Q-Matrices Using Bordered Matrix Algorithm
Given a matrix \(M \in \mathscr {R}^{n\times n}\) and a...
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A New Characterization of the Besov Spaces Associated with Hermite Operator
Let H = −Δ + ∣ x ∣ 2 be a Hermite operator, where Δ is the Laplacian on ℝ n . In this paper, we give a new characterization of the Besov space associated...