Opuscula Math. 32, no. 3 (2012), 579-590
On the uniqueness of minimal projections in Banach spaces
Ewa Szlachtowska
Dominik Mielczarek
Abstract.
Let \(X\) be a uniformly convex Banach space with a continuous semi-inner product. We investigate the relation of orthogonality in \(X\) and generalized projections acting on \(X\). We prove uniqueness of orthogonal and co-orthogonal projections.
Keywords:
minimal projection, orthogonal projection, co-orthogonal projection, uniqueness of norm-one projection.
Mathematics Subject Classification:
41A65, 46B20, 46B25.
About the authors ▼
Ewa Szlachtowska
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Krakow, Poland
Dominik Mielczarek
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Krakow, Poland
About the article ▼
Received: 2012-02-19.
Revised: 2012-03-18.
Accepted: 2012-03-20.
Cite this article as ▼
Ewa Szlachtowska, Dominik Mielczarek, On the uniqueness of minimal projections in Banach spaces, Opuscula Math. 32, no. 3 (2012), 579-590,
http://dx.doi.org/10.7494/OpMath.2012.32.3.579.
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