Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Buskes, Gerard"'
Autor:
Buskes, Gerard, Thorn, Page
We show that the Carath\'{e}odory space of place functions on the free product of two Boolean algebras is Riesz isomorphic with Fremlin's Archimedean Riesz space tensor product of their respective Carath\'{e}odory spaces of place functions. We provid
Externí odkaz:
http://arxiv.org/abs/2301.11866
Autor:
Buskes, Gerard, Thorn, Page
In this paper, we characterize when, for any infinite cardinal {\alpha}, the Fremlin tensor product of two Archimedean Riesz spaces is Dedekind {\alpha}-complete. We also provide an example of an ideal I in an Archimedean Riesz space E such that the
Externí odkaz:
http://arxiv.org/abs/2206.06283
Autor:
Buskes, Gerard, Roberts, Stephan
We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the equivalence of orthosymmetry and orthogonal additivity.
Externí odkaz:
http://arxiv.org/abs/1910.14624
Autor:
Buskes, Gerard, Schwanke, Christopher
We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived in \cite{Kusa} actually characterize them. Secondly, by employing compl
Externí odkaz:
http://arxiv.org/abs/1803.07361
Autor:
Buskes, Gerard, Schwanke, Christopher
Publikováno v:
Banach J. Math. Anal. 12, no. 1 (2018), 191-205
We prove an identity for sesquilinear maps from the Cartesian square of a vector space to a geometric mean closed Archimedean (real or complex) vector lattice, from which the Cauchy-Schwarz inequality follows. A reformulation of this result for sesqu
Externí odkaz:
http://arxiv.org/abs/1607.06639
Autor:
Buskes, Gerard, Roberts, Stephan
Publikováno v:
In Indagationes Mathematicae September 2020 31(5):758-766
Autor:
Buskes, Gerard, Schwanke, Chris
We show that the Fremlin tensor product $C(X)\bar{\otimes}C(Y)$ is not square mean complete when X and Y are uncountable metrizable compact spaces. This motivates the definition of complexification of Archimedean vector lattices, the Fremlin tensor p
Externí odkaz:
http://arxiv.org/abs/1410.5881
Autor:
Buskes, Gerard, Schwanke, Chris
We study completions of Archimedean vector lattices relative to any nonempty set of positively-homogeneous functions on finite-dimensional real vector spaces. Examples of such completions include square mean closed and geometric closed vector lattice
Externí odkaz:
http://arxiv.org/abs/1410.5878
We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice $E$ with itself and the 2-concavification of $E$.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1109.5380