Segments of bounded idempotents on a Hilbert space.
Language
en
Article de revue
This item was published in
Journal of Functional Analysis. 2005, vol. 229, n° 2, p. 405-423
Elsevier
English Abstract
Let H be a separable Hilbert space. We prove that any two homotopic idempotents in the algebra may be connected by a piecewise affine idempotent-valued path consisting of 4 segments at most. Moreover, we show that this ...Read more >
Let H be a separable Hilbert space. We prove that any two homotopic idempotents in the algebra may be connected by a piecewise affine idempotent-valued path consisting of 4 segments at most. Moreover, we show that this constant is optimal provided H has infinite dimension. We also explain how this result is linked to the problem of finding common complements for two closed subspaces of H.Read less <
English Keywords
idempotent
projection
piecewise affine homotopy
Hilbert space geometry
Origin
Hal imported