Contractive Projections in Continuous Function Spaces

Contractive Projections on Banach Spaces

Increasing sequences of contractive projections on a reflexive LP space share an unconditionality property similar to that exhibited sequences of self-adjoint projections on a Hilbert space. A slight variation of this property is shown to be precisely the correct condition on a reflexive Banach space to ensure that every operator with a contractive AC-functional calculus is scalar-type spectraL

Ranges of Positive Contractive Projections in Nakano Spaces

We show that in any nontrivial Nakano space X = Lp(·)(Ω, Σ, μ) with essentially bounded random exponent function p(·), the range Y = R(P ) of a positive contractive projection P is itself representable as a Nakano space LpY (·)(ΩY , ΣY , νY ), for a certain measurable set ΩY ⊆ Ω (the support of the range), a certain sub-sigma ring ΣY ⊆ Σ (with maximal element ΩY ) naturally determined by the la...

Contractive Projections and Prediction Operators

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Quasi-contractive Mappings in Fuzzy Metric Spaces

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.