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Orthogonal complements to invariant subspacesCohn, William S. January 1978 (has links)
Thesis--Wisconsin. / Vita. Includes bibliographical references (leaf 111).
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Classifying Triply-Invariant Subspaces for p=3Wojtasinski, Justyna Agata 15 May 2008 (has links)
No description available.
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A subspace approach to the auomatic design of pattern recognition systems for mechanical system monitoringHeck, Larry Paul 12 1900 (has links)
No description available.
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Linear impulsive control systems a geometric approach /Medina, Enrique A. January 2007 (has links)
Thesis (Ph.D.)--Ohio University, August, 2007. / Title from PDF t.p. Includes bibliographical references.
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Advances in sliding window subspace tracking /Toolan, Timothy M. January 2005 (has links)
Thesis (Ph. D.)--University of Rhode Island, 2005. / Typescript. Includes bibliographical references (leaves 87-89).
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On the Similarity of Operator Algebras to C*-AlgebrasGeorgescu, Magdalena January 2006 (has links)
This is an expository thesis which addresses the requirements for an operator algebra to be similar to a <em>C</em>*-algebra. It has been conjectured that this similarity condition is equivalent to either amenability or total reductivity; however, the problem has only been solved for specific types of operators. <br /><br /> We define amenability and total reductivity, as well as present some of the implications of these properties. For the purpose of establishing the desired result in specific cases, we describe the properties of two well-known types of operators, namely the compact operators and quasitriangular operators. Finally, we show that if A is an algebra of compact operators or of triangular operators then A is similar to a <em>C</em>* algebra if and only if it has the total reduction property.
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On the Similarity of Operator Algebras to C*-AlgebrasGeorgescu, Magdalena January 2006 (has links)
This is an expository thesis which addresses the requirements for an operator algebra to be similar to a <em>C</em>*-algebra. It has been conjectured that this similarity condition is equivalent to either amenability or total reductivity; however, the problem has only been solved for specific types of operators. <br /><br /> We define amenability and total reductivity, as well as present some of the implications of these properties. For the purpose of establishing the desired result in specific cases, we describe the properties of two well-known types of operators, namely the compact operators and quasitriangular operators. Finally, we show that if A is an algebra of compact operators or of triangular operators then A is similar to a <em>C</em>* algebra if and only if it has the total reduction property.
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Orbit operator and invariant subspaces.Deeley, Robin 21 January 2010 (has links)
The invariant subspace problem is the long-standing question whether every operator on a Hilbert space of dimension greater than one has a non-trivial invariant subspace. Although the problem is unsolved in the Hilbert space case, there are counter-examples for operators acting on certain well-known non-reflexive Banach spaces. These counter-examples are constructed by considering a single orbit and then extending continuously to a hounded linear map on the entire space. Based on this process, we introduce an operator which has properties closely linked with an orbit. We call this operator the orbit operator.
In the first part of the thesis, examples and basic properties of the orbit operator are discussed. Next, properties linking invariant subspaces to properties of the orbit operator are presented. Topics include the kernel and range of the orbit operator, compact operators, dilation theory, and Rotas theorem. Finally, we extend results obtained for strict contractions to contractions.
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Linear estimation and detection in Krylov subspaces : with 11 tables /Dietl, Guido K. E. January 2007 (has links) (PDF)
Techn. Univ., Diss.--München, 2006.
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Classifying triply-invariant subspaces for p = 3Wojtasinski, Justyna Agata. January 2008 (has links)
Thesis (M.S.)--University of Akron, Dept. of Mathematics, 2008. / "May, 2008." Title from electronic thesis title page (viewed 07/12/2008) Advisor, Jeffrey M. Riedl; Faculty Readers, Ethel Wheland, Stuart Clay; Department Chair, Joseph Wilder; Dean of the College, Ronald F. Levant; Dean of the Graduate School, George R. Newkome. Includes bibliographical references.
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