In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...

We prove the result stated in the title; that is, every separable Banach space is linearly isometric to a closed subspace E of the space of continuous functions on [ 0, 1 ], such that every nonzero ...

APPM 4440 - Undergraduate Applied Analysis 1 APPM 4440 - Undergraduate Applied Analysis 1 Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; ...

Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; continuous functions; differentiable functions; Darboux sums, Riemann sums, and integration; ...