Investigation of invariant manifolds of dynamic systems by means of quadratic forms
Yurij Alekseevich Mitropol'ski, V. L. Kulik (1986)
Časopis pro pěstování matematiky
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Yurij Alekseevich Mitropol'ski, V. L. Kulik (1986)
Časopis pro pěstování matematiky
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Seo, Yuki (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ernst Dieterich (2009)
Colloquium Mathematicae
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By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove...
Rufus Oldenburger (1940)
Compositio Mathematica
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Hiroshi Kurata, Ravindra B. Bapat (2016)
Special Matrices
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By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases. By a centered symmetric matrix we mean a symmetric matrix with zero row (and hence column) sums. There is a one-toone correspondence between the classes of hollow symmetric matrices and centered symmetric matrices, and thus with any hollow symmetric matrix D we may associate a centered symmetric matrix...
John C. Morgan II (1975)
Colloquium Mathematicae
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Marek Jarnicki, Peter Pflug
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Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Branislav Martić (1984)
Publications de l'Institut Mathématique
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Michael I. Gil' (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.