Unconditional Toeplitz Sections in Sequence Spaces.
Daniel J. Fleming (1987)
Mathematische Zeitschrift
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Daniel J. Fleming (1987)
Mathematische Zeitschrift
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Maddox, Ivor J. (1990)
International Journal of Mathematics and Mathematical Sciences
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Fridy, J.A. (1997)
International Journal of Mathematics and Mathematical Sciences
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P. Erdös, G. Piranian (1964)
Mathematische Zeitschrift
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Fridy, J.A. (1978)
International Journal of Mathematics and Mathematical Sciences
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Eberhard Malkowsky (1989)
Publications de l'Institut Mathématique
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Yousong Luo, Robin Hill (2015)
Special Matrices
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In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing known results, for a matrix to be the transforming matrix for a similarity between a pair of companion matrices. A special case of our main result shows that a Toeplitz or a Hankel matrix can be extended using associated companion matrices,...
Z.U. Ahmad, Mursaleen (1987)
Publications de l'Institut Mathématique
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A. Ohashi, T. Sogabe, T.S. Usuda (2015)
Special Matrices
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We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition. By the decomposition, the matrix is easily analyzed since one only needs to analyze the small matrix obtained from the decomposition. Using the decomposition, eigenpairs and arbitrary integer powers of the matrix are easily shown as applications.
H. I. Miller (1973)
Matematički Vesnik
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A.K. Abdikalykov, V.N. Chugunov, Kh.D. Ikramov (2015)
Special Matrices
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Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.
Titus Hilberdink (2006)
Acta Arithmetica
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Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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