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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 84, Number 1, Pages 13–22
(Mi tmf5857)
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This article is cited in 4 scientific papers (total in 4 papers)
Invertibility of elements in infinite-dimensional Grassmann–Banach algebras
V. D. Ivashchuk
Abstract:
It is shown that in an arbitrary infinite-dimensional Grassmann–Banach algebra over a complete normed field $K$ and belonging to the family considered in the author's earlier [1] an element $a$ is invertible if and only if $a(\varnothing)\ne0_K$. An expression is obtained for the inverse element.
Received: 10.11.1989
Citation:
V. D. Ivashchuk, “Invertibility of elements in infinite-dimensional Grassmann–Banach algebras”, TMF, 84:1 (1990), 13–22; Theoret. and Math. Phys., 84:1 (1990), 682–688
Linking options:
https://www.mathnet.ru/eng/tmf5857 https://www.mathnet.ru/eng/tmf/v84/i1/p13
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