Finite rank intermediate Hankel operators and the big Hankel operator.
Osawa, Tomoko (2006)
International Journal of Mathematics and Mathematical Sciences
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Osawa, Tomoko (2006)
International Journal of Mathematics and Mathematical Sciences
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Jeremy Lovejoy, Robert Osburn (2010)
Acta Arithmetica
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Bernard Aupetit, H. Mouton (1996)
Studia Mathematica
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We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.
Robin Harte (1995)
Studia Mathematica
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Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.
Beasley, LeRoy B. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A. Katavolos, M. Lambrou, W. Longstaff (1993)
Studia Mathematica
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Let M and N be nonzero subspaces of a Hilbert space H satisfying M ∩ N = {0} and M ∨ N = H and let T ∈ ℬ(H). Consider the question: If T leaves each of M and N invariant, respectively, intertwines M and N, does T decompose as a sum of two operators with the same property and each of which, in addition, annihilates one of the subspaces? If the angle between M and N is positive the answer is affirmative. If the angle is zero, the answer is still affirmative for finite rank operators but...
A. Lachlan (1974)
Fundamenta Mathematicae
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G. S. Rogers (1983)
Applicationes Mathematicae
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Yong Ge Tian, George P. H. Styan (2002)
Commentationes Mathematicae Universitatis Carolinae
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It is shown that where is idempotent, has full row rank and . Some applications of the rank formula to generalized inverses of matrices are also presented.
A. Lachlan (1980)
Fundamenta Mathematicae
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