arXiv subjects

Richard L. Baker

Publications and source records attributed to Richard L. Baker.

2 recordsLinked to original sources

arXiv2007

A Certain p-Adic Spectral Theorem

We extend a p-adic spectral theorem of M. M. Vishik to a certain class of p-adic Banach algebras. This class includes inductive limits of finite-dimensional p-adic Banach algebras of the form B(X), where X is a finite-dimensional p-adic Banach space. In particular, we present a p-adic spectral theorem for p-adic UHF and p-adic triangular UHF (TUHF) Banach algebras.

math.FA↗

arXiv2007

An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions

We present a general method of constructing an uncountable family of regular Borel measures on certain path spaces of Lipschitz functions having fixed Lipschitz constants. We use this method to give a definition of Lebesgue measure and uniform probability measre on these spaces.

math.FA↗