29 Mar
2016
29 Mar
'16
11:09 p.m.
This is an announcement for the paper “Bands in $L_p$-spaces” by Hendrik Vogt and Jurgen Voigt.
Abstract: For a general measure space $(\Omega, \mu)$ it is shown that for every band $M$ in $L_p(\mu)$ there exists a decomposition $\mu=\mu’+\mu’’$ such that $M=L_p(\mu’)={f\in L_p(\mu): f=0 \mu’’-a.e.}$. The theory is illustrated by an example, with an application to absorption semigroups.
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1603.07681