A new proof of N. J. Young's theorem on the orbits of the action of the symplectic group
1997 ◽
Vol 40
(2)
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pp. 309-315
The group of symplectic transformations acts on the unit ball of a Hilbert space. The structure of the orbits has been determined by N. J. Young in [8]. We provide a new proof of this theorem; it is slightly simpler than the original one, and does not involve Brown–Douglas–Fillmore theory. Moreover, the steps followed hopefully throw some additional light on the subject. We rely heavily on previous work of Khatskevich, Shmulyan and Shulman ([5, 6, 7[); the proofs of the results used are included for completeness.
1979 ◽
Vol 31
(5)
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pp. 1012-1016
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Keyword(s):
1966 ◽
Vol 18
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pp. 897-900
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2011 ◽
Vol 09
(06)
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pp. 1449-1457
Keyword(s):
1994 ◽
Vol 35
(7)
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pp. 3770-3770
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2006 ◽
Vol 135
(3)
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pp. 833-836
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2014 ◽
Vol 267
(4)
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pp. 1188-1204
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1985 ◽
Vol 93
(1)
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pp. 88-88
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1978 ◽
Vol 30
(01)
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pp. 22-31
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