Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 13 of 13 for “"Compact sets"”.
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Potential Theory on Compact Sets
… is to extend the notions of potential theory to compact sets. There are several equivalent ways to define continuous harmonic functions <em>H</em>(<em>K</em>) on a compact set <em>K</em> in [the set of real numbers]<sup>n</sup>. One may let <em>H</em>(<em>K</em>) be the uniform closure of all …
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Some results on Gδ ideals of compact sets
For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact sets on E, called G-delta ideals with property (*), and has shown that any ideal I in this class can be represented through the ideal of nowhere dense subsets of a closed subset F of the hyperspace …
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Some Results on G-Delta Ideals of Compact Sets
For a compact metric space E, Solecki has defined a broad natural class of Gdelta ideals of compact sets on E, called Gdelta ideals with property (*), and has shown that any ideal I in this class can be represented through the ideal of nowhere dense subsets of a closed subset F of the hyperspace of …
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Weak convergence and the prediction process
… measurable processes. Also a characterization of compact sets in the space is derived and some functionals on the space are discussed.
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Compact Filters and the Arzelá-Ascoli Theorem
… Theorem gives conditions for a set to be compact in a function space, and is a useful theorem for existence proofs in many different mathematical contexts. The most natural structure for Arzelà-Ascoli type theorems is the continuous convergence - which is not necessarily topological even …
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Nonlinear and Hybrid Feedbacks with Continuous-Time Linear Systems
… a whole range of interesting phenomena, such as compact sets of equilibria, hybrid omega-limit sets, and state constraints. Throughout the thesis, we use the hybrid systems formalism to describe these phenomena and to analyze these loops. We obtain sharp stability conditions that can be …
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Dunford-Pettis Sets and Operators
Sets in Banach spaces that are mapped into norm compact sets by weakly compact operators (called Dunford-Pettis sets) are studied in general and in the spaces L(,1) ((mu),X), C((OMEGA),X), and P(,1)((mu),X). It is shown that if X is a Banach space with the Dunford-Pettis property and X contains no …
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Algorithmic randomness on computable metric spaces and hyperspaces
… randomness on the hyperspace of non-empty compact subsets of a computable metric space, the study of which was first proposed by Barmpalias et al. [16] at the University of Florida in their work on the random closed subsets of the Cantor space. Much work has been done in the study of random …
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Discrete universality theorems for the Riemann and Hurwitz zeta-functions /
… with the topology of uniform convergence on compacta, be the class of compact subsets of the strip with connected complements, and let , , be the class of continuous functions on which are analytic in the interior of . In Chapter 1, universality theorems on the uniform approximation on …
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Diskrečiosios universalumo teoremos Rymano ir Hurvico dzeta funkcijoms /
… with the topology of uniform convergence on compacta, be the class of compact subsets of the strip with connected complements, and let , , be the class of continuous functions on which are analytic in the interior of . In Chapter 1, universality theorems on the uniform approximation on …
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Intertwining relations, commutativity and orbits
… with the topology of uniform convergence for compact sets. Our results are an extension of some of the most classical results related to the differentiation operator, that is, the ones of G. Godefroy and J. H. Shapiro \cite{Godefroy1991}, and R. Aron and D. Markose \cite{AronMarkose2004}. …
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Backward stochastic differential equations with jumps are stable
… on the positive real-line by means of relatively compact sets of the Skorokhod space endowed with the J1 −topology. We remain in the Skorokhod space, where we refine a classical result on convergence of the jump-times of a J1 −convergent sequence. More precisely, we deal with the case of a …
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Efficient Multi-Objective NeuroEvolution in Computer Vision and Applications for Threat Identification
… limited (or absent) scalability to custom datasets, (3) inability to provide competitive alternatives to expert-designed and heuristic approaches and (4) common consideration of a single objective. Moreover, most existing studies focus on standard classification tasks and thus cannot address a …