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RISS 인기검색어
- 검색키워드
- 저자 : A. J. Calderon Martin (검색결과 2 건)
- 무료
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A LINEAR APPROACH TO LIE TRIPLE AUTOMORPHISMS OF H*-ALGEBRAS
Martin, A. J. Calderon,Gonzalez, C. Martin Korean Mathematical Society 2011 대한수학회지 Vol.48 No.1
By developing a linear algebra program involving many different structures associated to a three-graded H*-algebra, it is shown that if L is a Lie triple automorphism of an infinite-dimensional topologically simple associative H*-algebra A, then L is either an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism. If A is finite-dimensional, then there exists an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism F : A $\rightarrow$ A such that $\delta$:= F - L is a linear map from A onto its center sending commutators to zero. We also describe L in the case of having A zero annihilator.
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A LINEAR APPROACH TO LIE TRIPLE AUTOMORPHISMS OF H^*-ALGEBRAS
A. J. Calderon Martin,C. Martin Gonzalez 대한수학회 2011 대한수학회지 Vol.48 No.1
By developing a linear algebra program involving many different structures associated to a three-graded H*-algebra, it is shown that if L is a Lie triple automorphism of an innite-dimensional topologically simple associative H*-algebra A, then L is either an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism. If A is finite-dimensional, then there exists an automorphism, an anti-automorphism, the negative of an automorphism or the negative of an anti-automorphism F : A → A such that δ := F -L is a linear map from A onto its center sending commutators to zero. We also describe L in the case of having A zero annihilator.
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