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Register a new userOn the connected components of the conjugacy class of projectors on $ ell_poplusell_q $
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Authors
Daniele Garrisi
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We characterize the projectors $ P $ on a Banach space $ E $ having the property of being connected to all the others projectors obtained as a conjugation of $ P $. Using this characterization we show an example of Banach space where the conjugacy class of a projector splits into several path-connected components, and describe the conjugacy classes of projectors onto subspaces of $ ell_poplusell_q $ with $ p eq q $.
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