5,464 research outputs found
Weak Sequential Completeness of Uniform Algebras
We prove that a uniform algebra is weakly sequentially complete if and only
if it is finite-dimensional
A Peak Point Theorem for Uniform Algebras on Real-Analytic Varieties
It was once conjectured that if is a uniform algebra on its maximal ideal
space , and if each point of is a peak point for , then .
This peak-point conjecture was disproved by Brian Cole in 1968. Here we
establish a peak-point theorem for uniform algebras generated by real-analytic
functions on real-analytic varieties, generalizing previous results of the
authors and John Wermer
The FORS1 catalogue of stellar magnetic field measurements
The FORS1 instrument on the ESO Very Large Telescope was used to obtain
low-resolution circular polarised spectra of nearly a thousand different stars,
with the aim of measuring their mean longitudinal magnetic fields. A catalogue
of FORS1 magnetic measurements would provide a valuable resource with which to
better understand the strengths and limitations of this instrument and of
similar low-dispersion, Cassegrain spectropolarimeters. However, FORS1 data
reduction has been carried out by a number of different groups using a variety
of reduction and analysis techniques. Our understanding of the instrument and
our data reduction techniques have both improved over time. A full re-analysis
of FORS1 archive data using a consistent and fully documented algorithm would
optimise the accuracy and usefulness of a catalogue of field measurements.
Based on the ESO FORS pipeline, we have developed a semi-automatic procedure
for magnetic field determinations, which includes self-consistent checks for
field detection reliability. We have applied our procedure to the full content
of circular spectropolarimetric measurements of the FORS1 archive. We have
produced a catalogue of spectro-polarimetric observations and magnetic field
measurements for about 1400 observations of about 850 different objects. The
spectral type of each object has been accurately classified. We have also been
able to test different methods for data reduction is a systematic way. The
resulting catalogue has been used to produce an estimator for an upper limit to
the uncertainty in a field strength measurement of an early type star as a
function of the signal-to-noise ratio of the observation. While FORS1 is not
necessarily an optimal instrument for the discovery of weak magnetic fields, it
is very useful for the systematic study of larger fields, such as those found
in Ap/Bp stars and in white dwarfs.Comment: Accepted for publication by A&
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