Zobrazeno 1 - 10
of 259
pro vyhledávání: '"C Ward Henson"'
Autor:
C. Ward Henson, José Iovino, Alexander S. Kechris, Edward Odell, Catherine Finet, Christian Michaux
This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. C
Autor:
C Ward Henson, Yves Raynaud
Publikováno v:
Journal of Logic and Analysis, Vol 3, Iss 0 (2011)
Externí odkaz:
https://doaj.org/article/7fc4dd78153d48ff8804f920c8a83985
Autor:
Itaï Ben Yaacov, C. Ward Henson
Publikováno v:
Fundamenta Mathematicae. 237:47-82
We study the question of when the space of embeddings of a separable Banach space $E$ into the separable Gurarij space $\mathbf G$ admits a generic orbit under the action of the linear isometry group of $\mathbf G$. The question is recast in model-th
Autor:
Sylvia Carlisle, C. Ward Henson
We show the theory of pointed $\R$-trees with radius at most $r$ is axiomatizable in a suitable continuous signature. We identify the model companion $\rbRT_r$ of this theory and study its properties. In particular, the model companion is complete an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f30b0413e8f66fb2f45791fbf0eb3677
Autor:
C. Ward Henson, Yves Raynaud
Publikováno v:
Commentationes Mathematicae. 56
We give a criterion ensuring that the elementary class of a modular Banach space \(E\) (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of \(E\)) consists of all direct sums \(E\oplus_m H\), where
Autor:
Yves Raynaud, C. Ward Henson
Publikováno v:
Journal of Logic and Analysis. 3:1-29
We introduce the class of doubly atomless bands in Lp(Lq)-Banach lattices and show that this class is axiomatizable by positive bounded sentences in the language of Banach lattices. (Here p 6= q are fixed and in the interval 1 ≤ p, q < ∞ .) The t
Publikováno v:
Canadian Mathematical Bulletin. 50:519-534
It is shown that Schatten p-classes of operators between Hilbert spaces of different (infinite) dimensions have ultrapowers which are (completely) isometric to non-commutative Lp-spaces. On the other hand, these Schatten classes are not themselves is
Autor:
C. Ward Henson, Yves Raynaud
Publikováno v:
Positivity. 11:201-230
Given 1≤ p,q < ∞, let BLpLq be the class of all Banach lattices X such that X is isometrically lattice isomorphic to a band in some Lp(Lq)-Banach lattice. We show that the range of a positive contractive projection on any BLpLq-Banach lattice is
1 More than thirty years after its discovery by Abraham Robinson, the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im portant field of research in their own r
Autor:
C. Ward Henson, David Ross
Publikováno v:
Proceedings of the American Mathematical Society. 118:587-596
Let S S and T T be hyperfinite sets in an ℵ 1 {\aleph _1} -saturated nonstandard universe. The following are equivalent: (i) | S | | T | ≈ 1 \frac {{|S|}} {{|T|}} \approx 1 . (ii) There is a bijection from | S | | T | ≈ 1. \frac {{|S|}} {{|T|}}