Linear Transformations on Symmetric Spaces II
1993 ◽
Vol 45
(2)
◽
pp. 357-368
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Keyword(s):
AbstractLet U be a finite dimensional vector space over an infinite field F. Let U(r) denote the r–th symmetric product space over U. Let T: U(r) → U(s) be a linear transformation which sends nonzero decomposable elements to nonzero decomposable elements. Let dim U ≥ s + 1. Then we obtain the structure of T for the following cases: (I) F is algebraically closed, (II) F is the real field, and (III) T is injective.
1985 ◽
Vol 28
(3)
◽
pp. 319-331
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1990 ◽
Vol 49
(3)
◽
pp. 399-417
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1982 ◽
Vol 25
(2)
◽
pp. 133-139
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1995 ◽
Vol 138
◽
pp. 113-140
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1986 ◽
Vol 69
(4)
◽
pp. 37-46
◽