On the failure of a decomposition
D. W. Solomon (1971)
Colloquium Mathematicae
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D. W. Solomon (1971)
Colloquium Mathematicae
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S. Chaładus, Yu. Teterin (1991)
Acta Arithmetica
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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P. Głowacki (1979)
Colloquium Mathematicae
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S. Hassi, H. S. V. de Snoo, F. H. Szafraniec
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Let A be a, not necessarily closed, linear relation in a Hilbert space ℌ with a multivalued part mul A. An operator B in ℌ with ran B ⊥ mul A** is said to be an operator part of A when A = B +̂ ({0} × mul A), where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for an operator part are established...
Michael C. Gemignani (1975)
Matematický časopis
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Lakomá, Lenka, Mikes̆, Josef (1997)
General Mathematics
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Emrah Kılıç, Ilker Akkus, Gonca Kızılaslan (2015)
Special Matrices
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Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulæ for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all...