Uniqueness of rotation invariant norms

If N >= 2, then there exist finitely many rotations of the sphere S(N) such that the set of the corresponding rotation operators on L(p)(S(N)) determines the norm topology for 1 < p <= infinity. For N = 1 the situation is different: the norm topology of L(2)(S(1)) cannot be determined by the set of operators corresponding to the rotations by elements of any 'thin' set of rotations of S(1).The authors were supported by MEC (Spain) Grant MTM2006-04837 and Junta de Andalucía Grants FQM-185 and Proyecto de Excelencia P06-FQM-01438

Deep brain stimulation of subthalamic nucleous in Parkinson's disease

We present the preliminary results in patients well selected to be implanted by deep brain stimulation (DBS) for Parkinsons's disease (PD). METHODS: 8 PD patients with disabled tremor, akinetic/bradikinetic and rigidity, in spite of best therapeutic assay with poor response were referred to surgery. It was implanted DBS Itrell 2. Theses patients were evaluated by the following scales: UPDRS, Schwab and England. RESULTS: The preliminary results in 6 months showed significant improvement of motor performance and it is shown by the scores. There were no complications so far with these procedures. CONCLUSION: The preliminary results indicate that DBS is highly effective, with benefit to those patients and it is according to literature.OBJETIVO: Apresentamos os resultados preliminares da estimulação cerebral profunda crônica no núcleo subtalâmico para os sintomas motores da doença de Parkinson. MÉTODO: 8 pacientes com doença de Parkinson há mais de 5 anos, apresentando tremor incapacitante, oligocinesia e rigidez acentuada com predomínio unilateral, 3 à direita e um à esquerda, refratários à medicação adequada, foram submetidos ao implante bilateral de eletrodo cerebral profundo permanente subtalâmico, Itrell 2. Estes pacientes foram avaliados segundo as escalas: UPDRS, Schwab e England. RESULTADOS: Os resultados preliminares (6 meses), mostraram melhora significativa dos sinais e sintomas avaliados pelas escalas acima. Não houve complicações com os procedimentos. CONCLUSÃO: Os resultados preliminares indicam que a estimulação subtalâmica é uma boa opção terapêutica, estando de acordo com os resultados da literatura.Universidade Estácio de Sá Departamento de Neurocirurgia Centro de Investigação NeurológicaHospital Pró-Cardíaco Serviço de NeurocirurgiaUniversidade Federal de São Paulo (UNIFESP) Escola Paulista de MedicinaUNIFESP, EPMSciEL

Strongly zero product determined Banach algebras

The authors were supported by MCIU/AEI/FEDER Grant PGC2018-093794-B-I00, Junta de Andalucia grant FQM-185. The first, second and fourth authors were supported by Proyectos I+D+i del programa operativo FEDER-Andalucia Grant A-FQM-484-UGR18. The third named author was also supported by MIU PhD scholarship Grant FPU18/00419. Funding for open access charge: Universidad de Granada/CBUA.C*-algebras, group algebras, and the algebra A(X) of approximable operators on a Banach space Xhaving the bounded approximation property are known to be zero product determined. In this paper we give a quantitative estimate of this property by showing that, for the Banach algebra A, there exists a constant awith the property that for every continuous bilinear functional phi: A x A -> C there exists a continuous linear functional xi on A such that sup(parallel to a parallel to=parallel to b parallel to=1) vertical bar phi(a, b) - xi(ab)vertical bar <= alpha sup(parallel to a parallel to=parallel to b parallel to=1ab-0), vertical bar phi(a, b)vertical bar in each of the following cases: (i) Ais a C*-algebra, in which case alpha = 8; (ii) A = L-1(G) for a locally compact group G, in which case alpha = 60 root 271+sin pi/10/1-2sin pi/10; (iii) A = A(X) for a Banach space Xhaving property (A)(which is a rather strong approximation property for X), in which case alpha = 60 root 27 1+sin pi/10/1-2sin pi/10 C-2, where C is a constant associated with the property(A) that we require forX.MCIU/AEI/FEDER Grant PGC2018-093794-B-I00Junta de Andalucia FQM-185Proyectos I+D+i del programa operativo FEDER-Andalucia Grant A-FQM-484-UGR18MIU PhD scholarship Grant FPU18/00419Universidad de Granada/CBU

Fibrinólise com infusão de rtPA e drenagem estereotáxica de hematoma intracerebral espontâneo profundo

PURPOSE: The authors present a prospective study on 10 patients with stereotactic infusion of tissue plasminogen activator (rtPA) intraparenchimal hemorrhage. METHODS: Between 1999 and 2000, 10 patients with deep seated hematomas in the basal ganglia were selected for stereotactic infusion of rtPA and spontaneous clot drainage. RESULTS: All cases had about 80% reduction of the hematoma volume in the CT scan at the third day. The intracranial pressure was normalized by the third day too. There were no local or systemic complications with the use of this trombolitic. The results were shown by the Glasgow Outcome Scale with six patients in V, three in IV and one in III after 3 months. CONCLUSION: Early treatment and drainage with minimally invasive neurosurgery , can make these patients with deep-seated hematomas recover the consciousness and they can be rehabilitated earlier avoiding secondary complications.OBJETIVO: Estudo prospectivo em 10 pacientes com infusão de trombolítico (rtPA) dentro do hematoma cerebral profundo supratentorial e drenagem estereotáxica. MÉTODO: Entre 1999 e 2000 10 pacientes com hematomas de profundidade foram selecionados para infusão de rtPA e drenagem do coágulo espontânea. RESULTADO: Todos os casos obtiveram 80% de redução do volume do hematoma medidos por TC no terceiro dia. A pressão intracraniana estava normalizada no terceiro dia. Não houve complicações locais ou sistêmicas relacionadas com o uso deste trombolítico. Os resultados comparados foram mostrados pela Escala de Prognóstico de Glasgow com 6 pacientes em GrauV, 3 pacientes em Grau IV e 1 paciente em Grau III após três meses. CONCLUSÃO: Tratamento precoce e drenagem com técnica neurocirúrgica minimamente invasiva pode fazer estes pacientes terem uma recuperação da consciência mais rápida e assim serem reabilitados mais precocemente evitando complicações secundárias.Universidade Estácio de Sá Instituto do Sono Estácio de Sá Centro de Investigação NeurológicaUniversidade Federal de São Paulo (UNIFESP) Escola Paulista de MedicinaUNIFESP, EPMSciEL

Development of an image registration technique as a complement for surgical planning in stereotactic conditions

E desenvolvido um metodo para fusao multimodal de imagens como complemento para o planejamento cirurgico em condicoes estereotaxicas. O metodo emprega mercadores anatomicos intrinsecos selecionados pelo operador. Sao necessarios quatro ou mais pares de mercadores referenciais equivalentes definidos em ambas as modalidades de imagem. Para fins de classificacao, o metodo e semi-automatico, com dimensionalidade tres (3D), de dominio global, e com tratamento de corpos rigidos. Sao apresentados quatro casos para demonstracao do metodo. Todos os casos usaram estereotomografias e series de ressonancia retrospectiva, nao estereotaxica. Os erros de fusao foram menores do que as dimensoes dos voxels das imagens primarias. Os casos apresentados mostram a estabilidade do metodo, mesmo quando as imagens sao de baixa qualidade, a superposicao dos volumes e parcial e os conjuntos de imagens iniciais sao desorientados espacialmente. O metodo foi implantado num computador pessoal como complemento de um programa de planejamento para neurocirurgia estereotaxica e funcional previamente desenvolvido pelo autorBV UNIFESP: Teses e dissertaçõe

Derivations and homomorphisms in commutator-simple algebras

The first, third, fourth, and fifth authors were supported by the Grant PID2021-122126NB-C31 funded by MCIN/AEI/ 10.13039/501100011033 and by “ERDF A way of making Europe” and grant FQM-185 funded by Junta de Andalucía. The second author was supported by the Slovenian Research Agency (ARRS) Grant P1-0288. The fourth author was also supported by grant FPU18/00419 funded by MIU.We call an algebra A commutator-simple if [A, A] does not contain nonzero ideals of A. After providing several examples, we show that in these algebras derivations are determined by a condition that is applicable to the study of local derivations. This enables us to prove that every continuous local derivation D : L1(G) → L1(G), where G is a unimodular locally compact group, is a derivation. We also give some remarks on homomorphism-like maps in commutator-simple algebras.MCIN/AEI/ 10.13039/50110001103 Grant PID2021-122126NB-C31“ERDF A way of making Europe”Junta de Andalucía FQM-185Slovenian Research Agency (ARRS) Grant P1-0288MIU: FPU18/0041

Resultados preliminares em cirurgia na doença de Parkinson

The authors present the preliminary results of 20 patients selected to be operated on between January 1996 and April 1997. These patients presented one of the present indications for stereotactic posteroventral pallidotomy (PVP), such as: rigidity, akinesia/bradykinesia, gait dysfunction, drug induced dyskinesias and tremor. Every patient of this protocol was evaluated by: UPDRS score, Schwab and England scale, Hoehn and Yahr Staging Scale before and after surgery. The results in 3 months showed a remarkable improvement after PVP (P<0.041) in all functional assessments, except for facial expression, speech and posture. The morbidity was 5%. 5 patients (25%) who were in Hoehn and Yahr 5 underwent a bilateral simultaneous PVP. In 5 patients (25%), who had tremor, during the PVP, VIM thalamotomy was added. These preliminary results suggest that PVP is highly effective for PD symptoms.Univ Fed Sao Paulo, Escola Paulista Med, Hosp Nove de Julho, Sao Paulo, BrazilEstereolife Neurocirurgia Funct & Estereotax, Rio De Janeiro, BrazilUniv Fed Sao Paulo, Escola Paulista Med, Hosp Nove de Julho, Sao Paulo, BrazilWeb of Scienc