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 20 of 20 for “"Representation Theorem"”.
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Unitarily invariant norms and tensor products of maximal injective von Neumann subalgebras
… Neumann algebras. In the first part, we set up a representation theorem for unitarily invariant norms on finite factor von Neumann algebras. In the second part, we set up a representation theorem for unitarily invariant norms related to infinite factor von Neumann algebras. In the third part, we …
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Construction of a Non-Standard Integral on AC [0, 1]
… into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an …
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Construction of a non-standard integral on AC [0, 1]
… into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an …
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Sobre a aplicação da representação de Beltrami a solução da equação do movimento para os meios contínuos
… a generalization for an dimencional space, of a theorem on stress functions of Gurtin’s, which enables us to write a representation theorem for the solution of the equations of motion in space-time. The solution obtained generalize those given by Beltrami, Maxwell, Morera and Truesdell.
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State transformers and modes of computation
… a 2-category is presented, and general lifting theorems are proved. Applications to constructions in categorical automata theory are given, and a representation theorem for strong monads into the monad of continuations is proved.
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Representation of measures via the standard part map
In this dissertation we study the representation of standard measures and contents via Loeb measures and the standard part map, extending previously known results to a nontopological setting. In addition, a characterization of the completely regular and Hausdorff spaces which are universally Loeb …
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Type-2 Fuzzy Alpha-cuts
… task is to develop a meaningful mathematical representation of type-2 fuzzy sets that allows functions and operations to be extended from well known mathematical forms to type-2 fuzzy sets. To this end, this thesis presents a novel alpha-cut representation theorem to be this meaningful …
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Two-step coding theorem in the nearly continuous category
… the nearly continuous category. Rudolph proved a representation theorem in the 1970's, showing that any measurable flow, where the function ƒ is only assumed to be measure-preserving on a measurable Z-system, can be represented as a flow built under a function where the ceiling function takes only …
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Representation of non-commutative topological algebras
The well known Gelfland-Naimark theorem enables us to represent a complex commutative C*-algebra as a full algebra of complex valued functions defined on its set of primitive ideals which is called the structure space of the algebra. In is thesis we are concerned with the generalization of this …
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Cohomological dimension for C*-algebras
… develop initial global dimension theorems for two of these categories. In the additive category of operator modules over a C*-algebra, equipped with the exact structure of all kernel-cokernel pairs, we show how an extension theorem of Wittstock and a representation theorem of …
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Operational Calculus
… space. This latter construction is based on a representation theorem of Riesz and Lorch for unbounded self-adjoint operators: the presentation is simpler and more illuminating than the customary one.
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AN INTRODUCTION TO BOOLEAN ALGEBRAS
… atoms, Boolean algebra isomorphisms, and Stone’s Representation Theorem for finite Boolean algebras. We also verified and proved many properties involving Boolean algebras and related structures.</p> <p>We then expanded our study to more thoroughly developed theory. This comprehensive theory was …
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Enlargement of Filtration, Backward Stochastic Differential Equations and Optimal Stopping Problems
… including a semimartingale decomposition theorem and a martingale representation theorem. The extensions then allow for the study of BSDEs and optimal stopping problems in an enlarged filtration. BSDEs are a very useful tool in stochastic optimal control and mathematical finance, the …
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Extension of some theorems of complex functional analysis to linear spaces over the quaternions and Cayley numbers
… concerning linear functionals, the Hahn-Banach Theorem and Reflexivity are considered. The Stone-Weierstrass Theorem is proven for functions with values in a real Cayley Dickson algebra of dimension n. The concepts of inner product spaces and Hilbert spaces over the Quaternions and the Cayley …
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Enhanced Constitutive Theories for Classical Thermoviscoelastic Polymeric Fluids
… inequality, additional desired physics, and the representation theorem. The constitutive theories for the Cauchy stress tensor consider convected time derivatives of Green’s strain tensor or Almansi strain tensor up to order n and the convected time derivatives of the Cauchy stress tensor up to …
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On Symmetric Operator Ideals and s-Numbers
<p>Motivated by the well-known theorem of Schauder, we study the relationship between various <em>s</em>-numbers of an operator<em> T</em> and its adjoint <em>T</em>∗ between Banach spaces. For non-compact operator <em>T</em> ∈ <em>L</em>(<em>X, Y</em> ), we do not have a lot of information about …
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The Case for Quantum State Realism
… probabilities based on the Quantum de Finetti Representation Theorem. Epistemic interpretations of the quantum state can be divided into those that are epistemic with respect to underlying ontic states, and those that are epistemic with respect to measurement outcomes. The Pusey Barrett and …
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Shock Physics in Compressible Solids
… derived from the entropy inequality and the representation theorem. The models incorporate finite deformation and finite strain physics, making them essential for studying compressible materials. For TE and TVE solids, dissipation is modeled through strain-rate-dependent mechanisms, while TVE …
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Point processes in statistical mechanics : a cluster expansion approach
… the main results of this thesis is an existence theorem for a new class of point processes with a so called signed Levy pseudo measure L, which is an extension of the class of infinitely divisible point processes. The construction approach is a combination of the classical point process theory, …
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Entropy in Data Compression, Additive Combinatorics and Probability
… message. General achievability and converse theorems are established for arbitrary source-side information pairs. Nonasymptotic normal approximation expansions are proved for the optimal rate in both the reference-based and pair-based settings, for memoryless sources. These are stated in …