A theorem on closed mapping

A note on spectral mapping theorem

This paper aims to present the well-known spectral mapping theorem for multi-variable functions.

A mapping theorem on g-metrizable spaces

In this paper, we give some mapping theorems on g-metrizable spaces in terms of some sequence-covering mappings, σ-mappings and π-mappings.

A pseudospectral mapping theorem

The pseudospectrum has become an important quantity for analyzing stability of nonnormal systems. In this paper, we prove a mapping theorem for pseudospectra, extending an earlier result of Trefethen. Our result consists of two relations that are sharp and contains the spectral mapping theorem as a special case. Necessary and sufficient conditions for these relations to collapse to an equality ...

A Stochastic Contraction Mapping Theorem

The submartingale convergence theorem is often described as a stochastic analogue to the bounded convergence theorem for monotone sequences of real numbers. We define an alternative process which is a stochastic analogue to an iterative contraction process. A general convergence theorem is presented, with an extension to multivariate processes. The convergence theorem functions in a manner simi...

A General Theorem on Conformal Mapping of Multiply Connected Domains.