Spelling suggestions: "subject:"infinite amatrices"" "subject:"infinite 2matrices""
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Operations on Infinite x Infinite Matrices and Their Use in Dynamics and Spectral TheoryGoertzen, Corissa Marie 01 July 2013 (has links)
By first looking at the orthonormal basis: Γ = {∑i 4 ibi ∈{0, 1}, finite sums} and the related orthonormal basis 5Γ = {5∑i 4i bi : bi ∈ {0, 1}, finite sums} we find several interesting relationships with the unitary matrix Uα,β arising from the operator U: Γ → 5Γ. Further, we investigate the relationships between U and the operators So : Γ → 4Γ defined by Soe4γ where eγ = e2ΠiΓ and S1: Γ → 4Γ+1 defined by S1eγ = e4γ+1.
Most intriguing, we found that when taking powers of the aforementioned Uα,β matrix that although there are infinitely many 1's occurring in the entries of Uα,β only one such 1 occurs in the subsequent higher powers Ukα,β. This means that there are infinitely many γ ∈ Γ ∩ 5Γ, but only one such γ in the intersection Γ and 5kΓ, for k ≥ 2.
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Weighted l̳ p̳-stability for localized infinite matricesShi, Qiling. January 2008 (has links)
Thesis (Ph.D.)--University of Central Florida, 2008. / Adviser: Qiyu Sun. On t.p., "l" is small script ell and "p" is superscript. Includes bibliographical references (p. 37-38).
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Expotential decay of resolvents of banded matrices and asymptotics of solutions of linear difference equationsSmith, Dale T. 05 1900 (has links)
No description available.
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Relationships between rings and infinite matrix rings. / CUHK electronic theses & dissertations collectionJanuary 2002 (has links)
by Chi-Kwan Leung. / "July 2002." / Thesis (Ph.D.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (p. 106-109). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.
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Rings of infinite matrices and polynomial ringsJohnson, Richard E., January 1941 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1941. / Typescript. Includes abstract and vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaf [61]).
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Infinite MatricesSmallwood, James D. 08 1900 (has links)
This paper will be mostly concerned with matrices of infinite order with elements which lie in Hilbert Space. All the properties of real and complex numbers and all the properties of infinite series and infinite sequences that are not listed will be assumed.
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Weighted Lp-stability For Localized Infinite MatricesShi, Qiling 01 January 2009 (has links)
This dissertation originates from a classical result that the lp-stability of the convolution operator associated with a summable sequence are equivalent to each other for different p . This dissertation is motivated by the recent result by C. E. Shin and Q. Sun (Journal ofFunctional Analysis, 256(2009), 2417-2439), where the lp-stability of infinite matrices in the Gohberg-Baskakov-Sjostrand class are proved to be equivalent to each other for different p. In the dissertation, for an infinite matrix having certain off-diagonal decay, its weighted lp-stability for different p are proved to be equivalent to each other and hence a result by Shin and Sun is generalized.
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Some Topics in Infinite Dimensional AlgebraBossaller, Daniel P. 11 June 2018 (has links)
No description available.
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Entangled PolynomialsPallone, Ashley H. 03 June 2021 (has links)
No description available.
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