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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 16 of 16 for “"Finite rank"”.
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Decompositions of Finite Rank, Torsion-Free Abelian Groups
Made available in DSpace on 2014-12-11T18:23:43Z (GMT). No. of bitstreams: 1 7121096.pdf: 986182 bytes, checksum: f0edf9aa94b9e58f29d3eeddb4f1c694 (MD5) Previous issue date: 1971
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On the topological entropy of nilpotent groups of finite rank
The present PhD thesis deals with some finiteness conditions on the topological entropy of continuous endomorphims of periodic locally compact Heisenberg p-groups (p prime). These are relevant models of locally compact nilpotent groups and their structure may be described very well by semidirect …
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Torsion Free Modules of Finite Rank Over a Discrete Valuation Ring
Made available in DSpace on 2015-05-12T21:43:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 7000783.PDF: 2595852 bytes, checksum: 9111fff20214a72fdc5fb310a6e30b99 (MD5) Previous issue date: 1969
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Strong Orbit Equivalence and Residuality
… If the strong orbit equivalence class contains a finite rank system, we show that the set of finite rank systems is residual in the metric space. The last result shown is that set of systems with zero entropy is residual in the strong orbit equivalence class of any minimal Cantor system.</p>
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Some Results on Free Groups in Combinatorial Group Theory
Let Fm be a free group of a finite rank m ≥ 2. We prove that there exist two elements u 1, u2 ∈ Fm such that every endomorphism y of Fm with non-cyclic image is completely determined by y (u1), y (u2). We obtain this result as a corollary of the construction of a C-test word vn( x1,...,xn), …
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Some Model Theory of Free Groups
… we prove that non-abelian free groups of finite rank at least 3 or of countable rank are not A-homogeneous. We then build on the proof of this result to show that two classes of groups, namely finitely generated free groups and finitely generated elementary free groups, fail to form …
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On the Numerical Range of Compact Operators
… />can be closely approximated by bounded finite rank operators (theorem 25). It is<br />well known that the numerical range of a bounded operator on a finite dimensional<br />Hilbert space is closed (theorem 54). In this thesis we explore how close to being<br />closed the numerical range …
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On rings with distinguished ideals and their modules.
… that if R is a ring such that R+ is free of finite rank, then there is a left R module M such that R ⊆ M ⊆ QR and End(M+) = R. This motivates the following definitions: Call R a Zassenhaus ring with module M if the conclusion of Zassenhaus' result holds for the ring R and module M . It is …
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Generalizations and Applications of Border Bases
… we generalize the theory of border bases to finitely generated modules over a polynomial ring. We characterize these generalized border bases and show that we can compute them. As an application, we are able to characterize subideal border bases in various new ways and give a new algorithm …
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Isospectral algorithms, Toeplitz matrices and orthogonal polynomials
… Jacobi operators. When the Jacobi operator is a finite rank perturbation of Toeplitz, here called pert-Toeplitz, the connection coefficients matrix produces an explicit, computable formula for the spectral measure. Generalisation to trace class perturbations is also considered. The third …
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Digital Curvature Estimation: An Operator Theoretic Approach
… consider smooth curve approximations using only finitely many samples of the curve, where the approximation, its first, and its second derivative converge uniformly to its corresponding part of the curve to be approximated. In this case, we can show that the estimated curvature converges …
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Non-selfadjoint operator algebras generated by unitary semigroups
… proper weakly closed ideal generated by the finite-rank operators, and its unitary automorphism group is R. Furthermore, the 8 choices of semigroup triples provide 2 unitary equivalence classes of operator algebras, with Aph and (Aph)∗ being chiral representatives. In chapter 4, we consider …
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The radon split of radially acting linear integral operators on H2 with uniformly bounded double norms
… for every radial linear integral operator K of finite rank on [Special characters omitted.] , its transpose K T in [Special characters omitted.] as well as its adjoint K * in [Special characters omitted.] , which leans heavily on the interaction of * and T in [Special characters omitted.] . We …
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Ideals in von Neumann algebras and in associated operator algebras
… is that it is the closure of the ideal of finite rank operators, and hence the closed ideal generated by the finite dimensional projections. Kaftal has considered the ideal of so called algebraically compact operators, which is defined to be the closed ideal generated by the algebraically …
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Reflexivity, elementary operators and cohomology
… lattice L which imply alg L , is strongly rank decomposable. Let S be either a reflexive subspace or a bimodule of a reflexive algebra. We find some conditions such that T has a rank one summand in S and S has strong rank decomposability. Let S ( L ) be the set of all operators on H that …
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Mathematical Study on the Expressive Power of Machine Learning and Applications in Optimal Filtering Problems
… are replaced with integral transforms, with a finite-rank parameterization of the weight integral kernels. The GAT maps the input vector into the function space by treating the input vector as coefficients of the input basis function, performing activation on the state function, and generating …