Infinite-dimensional Grassmann-Banach algebras
Ivashchuk, V. D.
arXiv, 0009006 / Harvested from arXiv
Text on arXiv
A short review on infinite-dimensional Grassmann-Banach algebras (IDGBA) is presented. Starting with the simplest IDGBA over $K = {\bf R}$ with $l_1$-norm (suggested by A. Rogers), we define a more general IDGBA over complete normed field $K$ with $l_1$-norm and set of generators of arbitrary power. Any $l_1$-type IDGBA may be obtained by action of Grassmann-Banach functor of projective type on certain $l_1$-space. In non-Archimedean case there exists another possibility for constructing of IDGBA using the Grassmann-Banach functor of injective type.
Publié le : 2000-09-06
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Functional Analysis 
@article{0009006,
     author = {Ivashchuk, V. D.},
     title = {Infinite-dimensional Grassmann-Banach algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0009006}
}

Ivashchuk, V. D. Infinite-dimensional Grassmann-Banach algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0009006/