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Unitary similarity of entrywise conjugate matrices and unitary decomplexification

✍ Scribed by Kh. D. Ikramov


Publisher
Springer US
Year
2011
Tongue
English
Weight
491 KB
Volume
176
Category
Article
ISSN
1573-8795

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Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A = [a ij ] and B = [b ij ] be upper triangular n Γ— n matrices that β€’ are not similar to direct sums of square matrices of smaller sizes, or β€’ are in general position an