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Showing 1 to 20 of 46 for “"isometry"”.
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Quantum stochastic flows on universal partial isometry matrix C*-algebras
… on universal C*-algebras generated by partial isometry matrix relations. This is a large class of C*-algebras that subsumes the family of graph C*-algebras and, more generally, Cuntz-Krieger algebras. The construction expands on the main results of the 2015 paper by Belton and Wills which …
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Topics on the geometry and classification of Banach lattices
… the complexity of the lattice isomorphism and isometry equivalence relations. The focus of the third part (Chapter 5) is the construction of a lattice isometrically universal separable ”Gurarij” Banach lattice by combining properties of the geometric structure of Banach lattices with Fraısse …
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Isometries of Besov Type Spaces among Composition Operators
… D, we show the composition operator CPhi is an isometry on Bp,alpha if and only if the weighted composition operator WPhiPhi, is an isometry on the weighted Bergman space Ap,alpha. We then characterize isometries among composition operators in Bp,alpha in terms of their Nevanlinna type counting …
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Two problems in the theory of curves over fields of positive characteristic
… to its duals, then it is said to have the isometry-dual property. Introducing characterizations of isometry-dual property for one-point AG codes and its preservation after puncturing at some points, some generalizations in different directions will be given.
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Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces
… between such spaces. As a subgroup of the isometry group of complex hyperbolic space $\Hyp^{n+1}_\C$, $\Heis^n$ becomes a large-scale model of a rank-one symmetric space and provides rigidity results in $\Hyp^{n+1}_\C$. After discussing homotheties and conformal mappings of $\Heis^n$, we …
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Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One
… it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.
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BUNDLE METRICS IN KALUZA-KLEIN THEORIES AND THE CONSISTENCY PROBLEM
… group. Furthermore, to implement the full isometry group of the internal space, as the gauge group, a fiber bundle which is associated to a 'spliced' principal bundle is constructed. The horizontal vector fields which show the presence of all the gauge potentials are explicitly evaluated. …
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Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… the fugacities in the index corresponding to an isometry, one forms the index of the submanifold of the target space invariant under that isometry. There is a limit of the fugacities that gives the Hilbert series of the target space, and often there is another limit of the parameters that …
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The Fundamental Group: A Geometric Perspective
… spaces and isometries, demonstrating how the isometry group of a space algebraically encodes its rigid symmetries. To bridge these two distinct mathematical frameworks, we utilize the construction of the universal covering space. We pull back the metric from a base space to its …
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The new stochastic integral and anticipating stochastic differential equations
… We provide a first counterpart to the Itô isometry that accounts for both adapted and instantly independent processes. We also present several Itô formulas for the new stochastic integral. Finally, we apply the new Itô formula to solve a linear stochastic differential equations …
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Efficient and guaranteed algorithms for sparse inverse problems
… are derived using a so-called restricted isometry property (RIP), which has only been shown to hold under ideal assumptions. For example, the sampling from the frame needs to be independent and identically distributed with the uniform distribution, and the frame must be tight. In practice …
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The Complete Pick Property and Reproducing Kernel Hilbert Spaces
… Pick property. We first discuss the lurking isometry method used in a paper by J.A. Ball, T.T. Trent, and V. Vinnikov. They show that a nondegenerate, positive kernel has the complete Pick property if $1/k$ has one positive square. We also look at the one-point extension approach developed by …
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Coincidences and colorings of lattices and Z-modules
… Moreover, the idea of a coincidence isometry of a lattice or Z-module is extended to include general (affine) isometries. The first chapter gives all the essential definitions, notations, and known results. It starts with a description of the coincidence problem for lattices and …
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Analytic Unitary Operators
Forelli has shown that every linear isometry T from H('p) onto H('p),1 (LESSTHEQ) p < (INFIN), p (NOT=) 2, is of the form Tf = (nu)((phi)')('1/p)f(CCIRC)(phi), where (nu) is a unimodular constant and (phi) is in M, the group of Mobius transformations of the unit disc . For p = 2, the operators of …
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Computability and Structure
… unique computable structure, up to a computable isometry, and C[0; 1] and l1 possess more than one. We study computable metric spaces which are not associated to Banach spaces and show that Cantor space and the Urysohn space have a unique computable structure, up to a computable isometry, and …
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A new theory of stochastic integration
… It\^o theory. We prove a special case of It\^o isometry for the stochastic integral of certain instantly independent processes. We obtain some formulas for expressing a new stochastic integral in terms of It\^o integrals and Riemann integrals. Several generalized versions of It\^o's formula for …
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Isometries on symmetric spaces associated with semi-finite von Neumann algebras
… composition operator) weighted by a partial isometry and/or a positive operator. In this thesis we describe the structures of isometries on various (non-commutative) symmetric spaces associated with semi-finite von Neumann algebras. This is achieved by extending certain results from the …
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Spectral methods and computational trade-offs in high-dimensional statistical inference
… also exist in the problem of restricted isometry certification. Certifiers for restricted isometry properties can be used to construct design matrices for sparse linear regression problems. Similar to the sparse PCA problem, we show that there is also an intrinsic gap between the class of …
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I movimenti rigidi da Euler al Programma di Erlangen
… focuses on the roots of the concept of isometry. This study examines the concept of rigid motion and gives a first historical account of its evolution during the period going from the Introduction in analysin infinitorum by Euler (1748) to the Erlangen Programm by Klein (1872). In the …
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Computable Performance Analysis of Recovering Signals with Low-dimensional Structures
… to the probabilistic analysis of the restricted isometry property. Numerical experiments show that, compared with the restricted isometry based performance bounds, our error bounds apply to a wider range of problems and are tighter, when the sparsity levels of the signals are relatively low. I …
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