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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 7(1), 49-60.

Abstract

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

keywords
tridiagonal algebra, isomorphism, spatially implemented

한국수학교육학회지시리즈B:순수및응용수학

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