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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 2, Pages 192–206 (Mi tmf5572)  
Tensor Banach algebras of projective type. II. The $l_1$ case

V. D. Ivashchuk

Scientific and Research Centre on Surface and Vacuum Properties Investigations
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Abstract: It is shown that the tensor Banach functor of projective type $\widehat{\mathscr T}_K$ [1] corresponding to the complete normed field $K$ is quasiidempotent on infinite-dimensional $l_1$ spaces, i.e.,
$$ \widehat{\mathscr T}_K(\theta_K(\widehat{\mathscr T}_K(l_1(M,K))))\cong\widehat{\mathscr T}_K(l_1(M,K)), $$
where $M$ is an infinite set and $\theta_K$ is the forgetful functor. An $l_1$ realization of the Banach algebra $\widehat{\mathscr T}_K(l_1(M,K))$ is constructed.
Received: 21.09.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 2, Pages 462–473
DOI: https://doi.org/10.1007/BF01018845
Bibliographic databases:
Language: Russian
Citation: V. D. Ivashchuk, “Tensor Banach algebras of projective type. II. The $l_1$ case”, TMF, 91:2 (1992), 192–206; Theoret. and Math. Phys., 91:2 (1992), 462–473
Citation in format AMSBIB
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\by V.~D.~Ivashchuk
\paper Tensor Banach algebras of projective type.~II. The~$l_1$ case
\jour TMF
\yr 1992
\vol 91
\issue 2
\pages 192--206
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182535}
\zmath{https://zbmath.org/?q=an:0781.46052}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 2
\pages 462--473
\crossref{https://doi.org/10.1007/BF01018845}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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