Isometry Games in Banach Spaces

Baratella, Stefano; Ng, Siu-Ah

Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 509-521 / Harvested from Project Euclid

Résumé

We study a property of extension of partial isometries in a Banach space. This property is formulated in game-theoretic language. It is weaker than transitivity, self-dual for reflexive spaces and it is related to a well-known open problem in functional analysis and to model-theoretic notions from mathematical logic.

Publié le : 2008-05-15
Classification: Banach space, transitivity, isometry, games, 46B04, 46B10, 46B08

@article{1222783097,
     author = {Baratella, Stefano and Ng, Siu-Ah},
     title = {Isometry Games in Banach Spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 509-521},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1222783097}
}

Baratella, Stefano; Ng, Siu-Ah. Isometry Games in Banach Spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  509-521. http://gdmltest.u-ga.fr/item/1222783097/