Infinite-dimensional Grassmann-Banach algebras

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dc.creatorIvashchuk, V. D.
dc.date2000-09-06
dc.date.accessioned2026-07-07T04:27:58Z
dc.date.available2026-07-07T04:27:58Z
dc.descriptionA 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.
dc.description6 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0009006
dc.identifierhttp://arxiv.org/abs/math-ph/0009006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56619
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.titleInfinite-dimensional Grassmann-Banach algebras
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