Acta Mathematica Vietnamica
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Taut Foliations, Left-Orderability, and Cyclic Branched Covers
Acta Mathematica Vietnamica - Tập 39 - Trang 599-635 - 2014
We study the question of when cyclic branched covers of knots admit taut
foliations, have left-orderable fundamental groups, and are not L-spaces.
HYBRID PROXIMAL POINT AND EXTRAGRADIENT ALGORITHMS FOR SOLVING EQUILIBRIUM PROBLEMS
Acta Mathematica Vietnamica - Tập 39 - Trang 405-423 - 2014
We propose new iteration methods for finding a common point of the solution set
of a pseudomonotone equilibrium problem and the solution set of a monotone
equilibrium problem. The methods are based on both the extragradient-type method
and the viscosity approximation method. We obtain weak convergence theorems for
the sequences generated by these methods in a real Hilbert space.
Twist Formulas for One-Row Colored A2 Webs and $\mathfrak {s}\mathfrak {l}_{3}$ Tails of (2, 2m)-Torus Links
Acta Mathematica Vietnamica - Tập 46 - Trang 369-387 - 2021
The $\mathfrak {s}\mathfrak {l}_{3}$ colored Jones polynomial $J_{\lambda
}^{\mathfrak {s}\mathfrak {l}_{3}}(L)$ is obtained by coloring the link
components with two-row Young diagram λ. Although it is difficult to compute
$J_{\lambda }^{\mathfrak {s}\mathfrak {l}_{3}}(L)$ in general, we can calculate
it by using Kuperberg’s A2 skein relation. In this paper, we show some formulas
for twisted two s...
Differential Extensions of Weakly Principally Quasi-Baer Rings
Acta Mathematica Vietnamica - Tập 44 - Trang 977-991 - 2018
A ring R is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if
the right annihilator of a principal right ideal is right s-unital by right
semicentral idempotents, which implies that R modulo, the right annihilator of
any principal right ideal, is flat. We study the relationship between the weakly
p.q.-Baer property of a ring R and those of the differential polynomial
extension R...
Spectral Characterizations of Solvability and Stability for Delay Differential-Algebraic Equations
Acta Mathematica Vietnamica - Tập 43 - Trang 715-735 - 2018
The solvability and stability analyses of linear time invariant systems of delay
differential-algebraic equations (DDAEs) are analyzed. The behavior approach is
applied to DDAEs in order to establish characterizations of their solvability in
terms of spectral conditions. Furthermore, examples are delivered to demonstrate
that the eigenvalue-based approach in analyzing the exponential stability of
...
The Change in Multiplicity of an Eigenvalue of a Real Symmetric Matrix Resulting from the Changes in Edge Values Around a Classified Vertex in a Tree
Acta Mathematica Vietnamica - Tập 43 - Trang 641-647 - 2018
Given a real symmetric matrix A whose graph is a tree T and its eigenvalues,
vertices in T can be classified in three categories, based upon the change in
multiplicity of a particular eigenvalue, when the vertex is removed. We
investigate the change in multiplicity of an eigenvalue based upon changes in
edge values around a classified vertex. Then, we observe that a 2-Parter edge, a
Parter edge, a...
Minimal Representations of a Face of a Convex Polyhedron and Some Applications
Acta Mathematica Vietnamica - Tập 46 - Trang 761-778 - 2021
In this paper, we propose a method for determining all minimal representations
of a face of a polyhedron defined by a system of linear inequalities. Main
difficulties for determining prime and minimal representations of a face are
that the deletion of one redundant constraint can change the redundancy of other
constraints and the number of descriptor index pairs for the face can be huge.
To reduce...
Remarks on Jones Slopes and Surfaces of Knots
Acta Mathematica Vietnamica - Tập 46 - Trang 289-299 - 2021
We show that the strong slope conjecture implies that the degrees of the colored
Jones knot polynomials detect the figure 8 knot. Furthermore, we propose a
characterization of alternating knots in terms of the Jones period and the
degree span of the colored Jones polynomial
Compactness for the Commutator of the Multilinear Fourier Multiplier on the Morrey Space
Acta Mathematica Vietnamica - Tập 41 - Trang 661-676 - 2015
Given s 1,…, s m ∈ (n/2, n], let T σ be a multilinear Fourier multiplier
operator associated with a multilinear multiplier σ satisfying a Sobolev
regularity condition $\sup _{\ell \in \mathbb {Z}}\|\sigma _{\ell
}\|_{W^{s_{1},\ldots ,s_{m}}(\mathbb {R}^{mn})}<\infty .$ By the strongly
precompactness of Banach space, the authors prove that if $b_{1},\ldots
,b_{m}\in CMO(\mathbb {R}^{n})$ , then the...
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