Friday, February 17th, 2017

Distinguished Visiting Professor Talk: Il Bong Jung 2/28 @ 4 pm in Olin 372

Title:  Quasinormality and weak quasinormality of operators   Abstract:  There are two notions to define the quasinormality of unbounded operators by Kaufman and Stochel-Szafraniec respectively. Our results show that Kaufman’s definition of an unbounded quasinormal operator coincides with that given by Stochel-Szafraniec. In this talk we discuss various characterizations of unbounded quasinormal operators. Examples demonstrating the sharpness of our results are constructed. An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. This approach establishes a new definition to be called weakly quasinormal operators. Some characterizations concerning to the […]

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Friday, February 17th, 2017

Distinguished Visiting Professor Talk: Il Bong Jung 2/23 @ 4 pm in Olin 372

Title:  Weighted shifts on directed trees Abstract: The main goal of this research is to implement some methods of graph theory into operator theory. We do it by introducing a new class of Hilbert space operators, which we propose to call weighted shifts on directed trees. We have studied the structure of these operators since 2012 and obtained some remarkable results about those operators. In this talk we discuss some of the established properties for such operators, for examples, normality, hyponormality, and subnormality, etc. It is well-known that the subnormality of Hilbert space operators is closely related to Stieltjes moment […]

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Wednesday, February 15th, 2017

Student Talk Series: Abby Hare-Harris 2/16 @ noon in Olin 268

Title:  Beyond Standard Scores:  Using Item-level Responses From Clinical Measures to Detect Atypical Developmental Patterns Abstract:  Developmental deviance (DDEV) refers to the non-sequential attainment of milestones within a developmental domain. This observation is in contrast to developmental delay (DD), where milestones are reached in the typical sequence, but the timeline of attainments is delayed. There is evidence that DDEV is associated with certain neurobehavioral diagnoses, such as autism spectrum disorder (ASD). Clinically, the attainment of developmental milestones is assessed through standardized measures of developmental domains. Many psychometric tests are arranged hierarchically, and on the surface, two individuals with the same […]

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