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pro vyhledávání: '"Marshall, Murray"'
Autor:
Gładki, Paweł, Marshall, Murray
Two fields are Witt equivalent if, roughly speaking, they have the same quadratic form theory. Formally, that is to say that their Witt rings of symmetric bilinear forms are isomorphic. This equivalence is well understood only in a few rather specifi
Externí odkaz:
http://arxiv.org/abs/1609.01930
Publikováno v:
Operator theory in different settings and applications, 243-250, Oper. Theory Adv. Appl., 262, Birkh\"auser Springer, 2018
This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra $S(V)$ of a locally convex space $(V, \tau)$. Let $\mu$ be a measure representing a linear functional $L: S(V)\to\mathbb{R
Externí odkaz:
http://arxiv.org/abs/1603.07747
Autor:
Gładki, Paweł, Marshall, Murray
Two fields are Witt equivalent if their Witt rings of symmetric bilinear forms are isomorphic. Witt equivalent fields can be understood to be fields having the same quadratic form theory. The behavior of finite fields, local fields, global fields, as
Externí odkaz:
http://arxiv.org/abs/1601.08085
Autor:
Gladki, Pawel, Marshall, Murray
In our work we investigate Witt equivalence of general function fields over global fields. It is proven that for any two such fields K and L the Witt equivalence induces a canonical bijection between Abhyankar valuations on K and L having residue fie
Externí odkaz:
http://arxiv.org/abs/1502.00830
Autor:
Marshall, Murray
The paper is a sequel to the paper "Application of localization to the multivariate moment problem" by the same author. A new criterion is presented for a positive semidefinite linear functional on the real polynomial algebra to correspond to a posit
Externí odkaz:
http://arxiv.org/abs/1410.4609
Publikováno v:
Israel Journal of Mathematics 212 (2016), 989-1012
The multivariate moment problem is investigated in the general context of the polynomial algebra $\mathbb{R}[x_i \mid i \in \Omega]$ in an arbitrary number of variables $x_i$, $i\in \Omega$. The results obtained are sharpest when the index set $\Omeg
Externí odkaz:
http://arxiv.org/abs/1409.5777
Autor:
Gladki, Pawel, Marshall, Murray
In our work we investigate quotient structures and quotient spaces of a space of orderings arising from subgroups of index two. We provide necessary and sufficient conditions for a quotient structure to be a quotient space that, among other things, d
Externí odkaz:
http://arxiv.org/abs/1401.1802
Autor:
Ghasemi, Mehdi, Marshall, Murray
$f,g_1,...,g_m$ be elements of the polynomial ring $\mathbb{R}[x_1,...,x_n]$. The paper deals with the general problem of computing a lower bound for $f$ on the subset of $\mathbb{R}^n$ defined by the inequalities $g_i\ge 0$, $i=1,...,m$. The paper s
Externí odkaz:
http://arxiv.org/abs/1311.3726
Publikováno v:
J. Funct. Anal. 266:2 1041-1049, (2014)
Let $A$ be a commutative unital $\mathbb{R}$-algebra and let $\rho$ be a seminorm on $A$ which satisfies $\rho(ab)\leq\rho(a)\rho(b)$. We apply T. Jacobi's representation theorem to determine the closure of a $\sum A^{2d}$-module $S$ of $A$ in the to
Externí odkaz:
http://arxiv.org/abs/1209.2966