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 17 of 17 for “"Linear maps"”.
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Theory of z-linear maps
La teoría que se desarrolla en esta tesis contempla las aplicaciones lineales Z a través de tres diferentes puntos de vista: como objetos de una categoría, como herramientas homológicas y funciones. En este trabajo se introduce por primera vez una categoría de aplicaciones lineales Z (o de las …
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Properties of Pure Completely Positive Linear Maps of Operator Systems
… the tensor product of pure completely positive maps are given. Some previously unrecorded generic features of pure completely positive linear maps are also presented, including a result on the pure extendibility of pure completely positive linear maps on operator systems with values in an …
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A type-based framework for higher-order quantum theory
… which transform channels, are at order two; maps that transform superchannels are at order three, and so on. To proceed toward a general understanding of higher-order quantum theory, we need methods to study the full inductive hierarchy in a uniform manner. In the context of the Hilbert space …
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Orthosymmetric Maps And Polynomial Valuations
… on vector lattices as orthosymmetric multilinear maps. Our proof avoids partitionaly orthosymmetric maps and results that represent orthogonally additive polynomials as linear maps on a power. We also prove band characterizations for order bounded polynomial valuations and for order …
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Ternary derivations of triangular algebras
… extend the concept of derivations to triples of linear maps. In this thesis, we describe ternary derivations of triangular algebras. We use category theory to approach our study of ternary derivations, while also offering some straightforward computational proofs. Furthermore, we investigate some …
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Absolutely continuous invariant measures for piecewise linear interval maps both expanding and contracting
… characters omitted.] be a family of piecewise linear maps f : [-1,1] [arrow right] [-1,1] with a discontinuity at x = 0 such that f is expanding in one of the intervals (-1,0), (0,1) and contracting in the other. We will study the dynamics of maps of sub-classes of [Special characters omitted.] …
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Aspects of index theory
Index theory is the theory of linear maps with finite dimensional nullspaces and cokernels. In particular, the index of such a map is the dimension of its nullspace minus that of its cokernel. We survey some aspects of this theory in this thesis. In particular, the first chapter talks about general …
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Evolution Semigroups for Well-Posed, Non-Autonomous Evolution Families
… Berhard Koopman's operator theoretic global linearization approach to the study of nonautonomous flows. Given a system with states x in a set \Omega (the state space), a map t\to \gamma(t,s,x) (t\geq s \geq 0) is called a global flow if it describes the time evolution of a system with the …
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An Examination of the Yang-Baxter Equation
… product of matrices, i.e., the composition of linear maps, with the intent of characterizing the solutions of the Yang-Baxter equation.</p> <p>We begin by examining the simple case of 2<strong></strong>2 matrices where it is possible to fully characterize the solutions. We connect the …
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Cohomological dimension for C*-algebras
… pairs that split as completely bounded linear maps. This provides a new context in which to discuss relative homological algebra for operator modules over a C*-algebra. We provide a proof that the cohomological dimension of this exact category is zero ifand only if the C*-algebra is …
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Higher-Dimensional Analogues of Two Theorems of Orponen on Exceptional Sets
… Tuomas Orponen. The first result states that, if linear maps are \textit{almost dimension conserving} for $A$, then the exceptional sets of orthogonal projections of $A$ have small packing dimension. This applies, for example, to (weakly) Furstenberg homogeneous sets and to certain self-similar …
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Gradings of Lie Algebras
… product of two R-modules, and see how all multi-linear maps filter through tensor products. This is followed by a collection of results chosen to help build intuition for the structure and workings of the tensor product. Lastly, we examine how tensor products interact with direct sums and how …
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A Data Driven Real Time Control Strategy for Power Management of Plug-in Hybrid Electric Vehicles
… trajectories are then used to train a set of linear maps for the powertrain control variables such as the engine and electric motor/generator torque inputs, through a least-squares optimization process. The DP results indicate that the trip length (distance from the start of the trip to the …
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Transformations preserving tame sets
… triangulated n-manifolds and tame light open maps of 2-manifolds into themselves are homeomorphisms. Connected complexes are compact if and only if every tame map of the complex into itself has a polyhedral image. Tame linear maps of Euclidean spaces and tame simplicial maps on triangulated …
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Probabilistic modeling and Bayesian inference via triangular transport
… and immediate access to its density. Triangular maps comprise a general class of transports that are attractive from the perspectives of analysis, modeling, and computation. This thesis: (1) develops a general representation for monotone triangular maps, and adaptive methodologies for estimating …