1,940 research outputs found
'State of the art' of radical hysterectomy; current practice in European oncology centres.
No full textOn unitary convex decompositions of vectors in a -algebra
No full textsummary:By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital -algebra permits the vector decomposable as convex combination of fewer unitaries; certain -algebra results due to M. Rørdam have been extended to the general setting of -algebras
Randomised trial of drains versus no drains following radical hysterectomy and pelvic lymphonode dissection: a European Organisation for Research and Treatment of Cancer-Gynaecological Cancer Group (EORTC-GCG) study in 234 patients.
No full textDrainage, following radical hysterectomy and pelvic lymph node dissection to prevent
postoperative lymphocyst formation and surgical morbidity, is controversial. To study the
clinical significance of drainage, 253 patients were registered and 234 patients were randomised
into two arms. In one arm (n = 117) postoperative drainage was performed, in
the other arm (n = 117) no drains were inserted. In both arms closure of the peritoneum
of the operating field was omitted. The main exclusion criteria were blood loss of more
than 3000 ml during surgery or persistent oozing at the end of the operation. Clinical and
ultrasound or CT-scan evaluation was done at one and 12 months postoperatively. The
median follow-up amounted to 13.3 months. No difference in the incidence of postoperative
lymphocyst formation or postoperative complications was found between the two
study arms. The late (12 months) incidence of symptomatic lymphocysts was 3.4% (drains:
5.9%; no drains: 0.9%). The difference showed a p-value of 0.06 in Fisher’s Exact test. The
operating time was related to the occurrence of postoperative lymphocyst formation. It
was concluded that drains can be safely omitted following radical hysterectomy and pelvic
node dissection without pelvic reperitonisation in patients without excessive bleeding during
or oozing at the end of surgery
Drains or no Drains after radical hysterectomy and node dissection (RHND): an EORTC randomised trial.
No full textDrains or no drains after radical hysterectomy and node dissection (RHND): an EORTC Randomised Tria
Erratum: Half-supersymmetric solutions in five-dimensional supergravity (Journal of High Energy Physics (2007) 12 (025))
No full text[No abstract available]Gutowski JB, 2007, J HIGH ENERGY PHYS11
Surjective isometries between unitary sets of unital JB∗-algebras
No full textWe would like to thank Prof. Lajos Molnár for encouraging us to explore this problem.
We are also indebted to the anonymous reviewer for several useful comments.
First and fifth authors partially supported by the Spanish Ministry of Science, Innovation and Universities (MICINN) and European Regional Development Fund project
no. PGC2018-093332-B-I00, Programa Operativo FEDER 2014-2020 and Consejería de
Economía y Conocimiento de la Junta de Andalucía grant numbers A-FQM-242-UGR18
and FQM375. First author partially supported by EPSRC (UK) project “Jordan Algebras, Finsler Geometry and Dynamics” ref. no. EP/R044228/1. Second author partially
supported by JSPS KAKENHI Grant Number JP 21J21512. Fourth author partially
supported by JSPS KAKENHI (Japan) Grant Number JP 20K03650.
* Funding for open access charge: Universidad de Granada / CBUAThis paper is, in a first stage, devoted to establishing a topological–algebraic characterization of the principal component, U0(M), of the set of unitary elements, U(M), in a unital JB⁎-algebra M. We arrive to the conclusion that, as in the case of unital C⁎-algebras, U0(M)=M1−1∩U(M)={Ue⋯Ue(1):n∈N,hj∈Msa∀1≤j≤n}={u∈U(M): there exists w∈U0(M) with ‖u−w‖<2} is analytically arcwise connected. Actually, U0(M) is the smallest quadratic subset of U(M) containing the set eiM. Our second goal is to provide a complete description of the surjective isometries between the principal components of two unital JB⁎-algebras M and N. Contrary to the case of unital C⁎-algebras, we shall deduce the existence of connected components in U(M) which are not isometric as metric spaces. We shall also establish necessary and sufficient conditions to guarantee that a surjective isometry Δ:U(M)→U(N) admits an extension to a surjective linear isometry between M and N, a conclusion which is not always true. Among the consequences it is proved that M and N are Jordan ⁎-isomorphic if, and only if, their principal components are isometric as metric spaces if, and only if, there exists a surjective isometry Δ:U(M)→U(N) mapping the unit of M to an element in U0(N). These results provide an extension to the setting of unital JB⁎-algebras of the results obtained by O. Hatori for unital C⁎-algebras.CBUAConsejería de Economía y Conocimiento de la Junta de Andalucía
A-FQM-242-UGR18, FQM375Ministerio de Ciencia, Innovación y UniversidadesEngineering and Physical Sciences Research Council
EP/R044228/1Universidad de GranadaMinisterio de Ciencia e InnovaciónJapan Society for the Promotion of Science JP 20K03650, JP 21J21512European Regional Development Fund
PGC2018-093332-B-I0
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