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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 84, Number 1, Pages 13–22 (Mi tmf5857)  
This article is cited in 4 scientific papers (total in 4 papers)

Invertibility of elements in infinite-dimensional Grassmann–Banach algebras

V. D. Ivashchuk
Full-text PDF (683 kB) Citations (4)
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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
English version:
Theoretical and Mathematical Physics, 1990, Volume 84, Issue 1, Pages 682–688
DOI: https://doi.org/10.1007/BF01017192
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Iva90}
\by V.~D.~Ivashchuk
\paper Invertibility of~elements in~infinite-dimensional Grassmann--Banach algebras
\jour TMF
\yr 1990
\vol 84
\issue 1
\pages 13--22
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070343}
\zmath{https://zbmath.org/?q=an:0760.46044}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 84
\issue 1
\pages 682--688
\crossref{https://doi.org/10.1007/BF01017192}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FA15100002}
Linking options:
  • https://www.mathnet.ru/eng/tmf5857
  • https://www.mathnet.ru/eng/tmf/v84/i1/p13
    • This publication is cited in the following 4 articles:
    1. Steven Duplij, Władysław Marcinek, Noncommutative Structures in Mathematics and Physics, 2001, 125  crossref
    2. Steven Duplij, “On an alternative supermatrix reduction”, Lett Math Phys, 37:4 (1996), 385  crossref
    3. V. D. Ivashchuk, “Tensor Banach algebras of projective type. I”, Theoret. and Math. Phys., 91:1 (1992), 336–345  mathnet  crossref  mathscinet  zmath  isi
    4. V. D. Ivashchuk, “Tensor Banach algebras of projective type. II. The $l_1$ case”, Theoret. and Math. Phys., 91:2 (1992), 462–473  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:338
    Full-text PDF :97
    References:46
    First page:1
     
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