Lipschitz continuity of oblique projections
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- by Harald K. Wimmer PDF
- Proc. Amer. Math. Soc. 128 (2000), 873-876 Request permission
Abstract:
Let $W$ and $L$ be complementary spaces of a finite dimensional unitary space $V$ and let $P(W,L)$ denote the projection of $V$ on $W$ parallel to $L$. Estimates for the norm of $P(W,L) - P(W,M)$ are derived which involve the norm of the restriction of $P(W,L)$ to $M$ or the gap between $L$ and $M$.References
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Additional Information
- Harald K. Wimmer
- Affiliation: Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany
- Email: wimmer@mathematik.uni-wuerzburg.de
- Received by editor(s): August 10, 1997
- Received by editor(s) in revised form: April 28, 1998
- Published electronically: July 6, 1999
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 873-876
- MSC (1991): Primary 51M05, 51M16, 15A45
- DOI: https://doi.org/10.1090/S0002-9939-99-05267-3
- MathSciNet review: 1654064