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ISSN : 1226-0657

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Vol.7 No.1
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ISOMORPHISMS OF CERTAIN TRIDIAGONAL ALGEBRAS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.1, pp.49-60
Choi, Taeg-Young (Department of Mathematics Education, Andong National University)
Kim, Si-Ju (Department of Mathematics Education, Andong National University)
Choi, Taeg-Young, & Kim, Si-Ju. (2000). ISOMORPHISMS OF CERTAIN TRIDIAGONAL ALGEBRAS. 한국수학교육학회지시리즈B:순수및응용수학, 7(1), 49-60.
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Abstract

We will characterize isomorphisms from the adjoint of a certain tridiag-onal algebra <TEX>$AlgL_{2n}$</TEX> onto <TEX>$AlgL_{2n}$</TEX>. In this paper the following are proved: A map <TEX>$\Phi{\;}:{\;}(AlgL_{2n})^{*}{\;}{\longrightarrow}{\;}AlgL_{2n}$</TEX> is an isomorphism if and only if there exists an operator S in <TEX>$AlgL_{2n}$</TEX> with all diagonal entries are 1 and an invertible backward diagonal operator B such that <TEX>${\Phi}(A){\;}={\;}SBAB^{-1}S^{-1}$</TEX>.

keywords
tridiagonal algebra, isomorphism, spatially implemented

한국수학교육학회지시리즈B:순수및응용수학

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