منابع مشابه
G-dinaturality
An extension of the notion of dinatural transformation is introduced in order to give a criterion for preservation of dinaturality under composition. An example of an application is given by proving that all bicartesian closed canonical transformations are dinatural. An alternative sequent system for intuitionistic propositional logic is introduced as a device, and a cut elimination procedure i...
متن کاملA Characterisation of the Least-Fixed-Point Operator by Dinaturality
Simpson, A.K., A characterisation of the least-fixed-point operator by dinaturality, Theoretical Computer Science 118 (1993) 301-314. The paper addresses the question of when the least-fixed-point operator, in a Cartesian-closed category of domains, is characterised as the unique dinatural transformation from the exponentiation bifunctor to the identity functor. We give a sufficient condition o...
متن کاملA Note on Strong Dinaturality, Initial Algebras and Uniform Parameterized Fixpoint Operators
I show a basic Yoneda-like lemma relating strongly dinatural transformations and initial algebras. Further, I apply it to reprove known results about unique existence of uniform parameterized fixpoint operators.
متن کاملG-Frames, g-orthonormal bases and g-Riesz bases
G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2003
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(03)00003-4