Search results for "dilations"

showing 3 items of 3 documents

Hilbert space operators with two-isometric dilations

2021

A bounded linear Hilbert space operator $S$ is said to be a $2$-isometry if the operator $S$ and its adjoint $S^*$ satisfy the relation $S^{*2}S^{2} - 2 S^{*}S + I = 0$. In this paper, we study Hilbert space operators having liftings or dilations to $2$-isometries. The adjoint of an operator which admits such liftings is characterized as the restriction of a backward shift on a Hilbert space of vector-valued analytic functions. These results are applied to concave operators (i.e., operators $S$ such that $S^{*2}S^{2} - 2 S^{*}S + I \le 0$) and to operators similar to contractions or isometries. Two types of liftings to $2$-isometries, as well as the extensions induced by them, are construct…

47[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]A-contractionFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics - Spectral Theory47A63Dirichlet shift MSC (2010): 47A0547A20FOS: Mathematicsdilationsconcave operator2-isometric lifting47A15Spectral Theory (math.SP)
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W1113 Efficacy and Safety of Endoscopic Balloon Dilation of Symptomatic Intestinal Crohn's Disease Strictures

2009

Aim: To evaluate prospectively the clinical efficacy and safety of endoscopic hydrostatic balloon dilation in a consecutive cohort of symptomatic intestinal Crohn’s disease strictures. Methods: Between September 2003 and December 2008 we performed endoscopic balloon dilations in 37 Crohn’s disease patients with 39 intestinal symptomatic strictures (4 naive and 35 postoperative). Dilations were performed using a Rigiflex through-the-scope balloon. Clinical success rate was claimed if a patient remained asymptomatic and did not require surgery or further endoscopic dilation, following technical success. Actuarial curves of clinical, endoscopic (redilation) and surgical recurrence were obtaine…

Crohn's diseasemedicine.medical_specialtyHepatologybusiness.industryGastroenterologyDiseaseBalloonmedicine.diseaseAsymptomaticBalloon dilationsCohortBalloon dilationMedicineClinical efficacyRadiologymedicine.symptombusinessGastroenterology
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Efficacy and safety of endoscopic balloon dilation of symptomatic intestinal Crohn's disease strictures

2011

Abstract Aim To evaluate prospectively the clinical efficacy and safety of endoscopic hydrostatic balloon dilation in a consecutive cohort of symptomatic intestinal Crohn's disease strictures. Methods Between September 2003 and December 2008 we performed endoscopic balloon dilations in 37 Crohn's disease patients with 39 intestinal symptomatic strictures (4 naive and 35 postoperative). Dilations were performed using a Rigiflex through-the-scope balloon. Clinical success rate was claimed if a patient remained asymptomatic and did not require surgery or further endoscopic dilation, following technical success. Actuarial curves of clinical, endoscopic (redilation) and surgical recurrence were …

medicine.medical_specialtyCrohn's diseasecrohn's diseaseendoscopic dilationstenosisSettore MED/09 - Medicina InternaHepatologymedicine.diagnostic_testbusiness.industryGastroenterologymedicine.diseaseBalloonAsymptomaticEndoscopySurgeryStenosisBalloon dilationsmedicineBalloon dilationRadiologymedicine.symptomProspective cohort studybusinessDigestive and Liver Disease
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