Holomorphic Framings for Projections in A Banach Algebra
Keyword(s):
Abstract Given a complex Banach algebra, we consider the Stiefel bundle relative to the similarity class of a fixed projection. In the holomorphic category the Stiefel bundle is a holomorphic locally trivial principal bundle over a certain Grassmann manifold. Our main application concerns the holomorphic parametrization of framings for projections. In the spatial case this amounts to a holomorphic parametrization of framings for a corresponding complex Banach space.
2009 ◽
Vol 02
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pp. 503-520
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1977 ◽
Vol 18
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pp. 13-15
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2018 ◽
Vol 61
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pp. 169-175
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1990 ◽
Vol 32
(3)
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pp. 273-276
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2016 ◽
Vol 160
(3)
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pp. 413-421
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