A revised closed graph theorem for quasi-Suslin spaces

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

Computational Aspects of Graph Coloring and the Quillen–Suslin Theorem

We generalize both the Fibonacci and Lucas numbers to the context of graphcolorings, and prove some identities involving these numbers. As a corollary we obtain newproofs of some known identities involving Fibonacci numbers such asFr+s+t = Fr+1Fs+1Ft+1 + FrFsFt − Fr−1Fs−1Ft−1.

Closed Graph Theorems for Bornological Spaces

The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over R and C to deduce closed graph theorems for bornological vector spaces over any complete, non-trivially valued field, hence encompassing...

A Quasi-invariance Theorem for Measures on Banach Spaces

We show that for a measure -y on a Banach space directional different ¡ability implies quasi-translation invariance. This result is shown to imply the Cameron-Martin theorem. A second application is given in which 7 is the image of a Gaussian measure under a suitably regular map.

a mean ergodic theorem for asymptotically quasi-nonexpansive affine mappings in banach spaces satisfying opial's condition