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On the uniqueness of minimal projections in Banach spaces

Szlachtowska E., Mielczarek D.

Opuscula Mathematica

2012

Vol. 32, no. 3

579-590

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.

Minimal and co-minimal projections in spaces of continuous functions

Mielczarek D.

Opuscula Mathematica

2010

Vol. 30, no. 4

457-464

Minimal and co-minimal projections in the space C[0, 1] are studied. We construct a minimal and co-minimal projection from C[0, 1] onto a subspace Y defined in the introduction.