2,553 research outputs found
A dichotomy property for locally compact groups
We extend to metrizable locally compact groups Rosenthal's theorem describing
those Banach spaces containing no copy of . For that purpose, we transfer
to general locally compact groups the notion of interpolation () set,
which was defined by Hartman and Ryll-Nardzewsky [25] for locally compact
abelian groups. Thus we prove that for every sequence in a locally compact group , then either has a weak Cauchy subsequence or contains a subsequence
that is an set. This result is subsequently applied to obtain sufficient
conditions for the existence of Sidon sets in a locally compact group , an
old question that remains open since 1974 (see [32] and [20]). Finally, we show
that every locally compact group strongly respects compactness extending
thereby a result by Comfort, Trigos-Arrieta, and Wu [13], who established this
property for abelian locally compact groups.Comment: To appear in J. of Functional Analysi
A correction on Shiloach's algorithm for minimum linear arrangement of trees
More than 30 years ago, Shiloach published an algorithm to solve the minimum
linear arrangement problem for undirected trees. Here we fix a small error in
the original version of the algorithm and discuss its effect on subsequent
literature. We also improve some aspects of the notation.Comment: A new introductory paragraph has been added; error solutions and
notation improvements are discussed with more dept
El sacramento de la confesión en el Directorio para confesores y penitentes del Tercer Concilio Mexicano (1585).
José GARCÍA ORO, El Cardenal Cisneros, Vida y empresas. II, Biblioteca de Autores Cristianos, Madrid 1993, 707 pp., 13 x 19,5. [RECENSIÓN]
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