Some spectral properties of operator-valued representations of function algebras
F. H. Szafraniec (1971)
Annales Polonici Mathematici
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F. H. Szafraniec (1971)
Annales Polonici Mathematici
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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K. Parthasarathy, R. Prakash (2007)
Colloquium Mathematicae
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In this note we define and explore, à la Godement, spectral subspaces of Banach space representations of the Fourier-Eymard algebra of a (nonabelian) locally compact group.
Irene Rousseau (2001)
Visual Mathematics
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Jaroslav Drahoš (1972)
Czechoslovak Mathematical Journal
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W. Koppelman, J.D. Pincus (1959)
Mathematische Zeitschrift
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Robert P. Boyer (2003)
Studia Mathematica
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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...
Andrés Ángel (2009)
Banach Center Publications
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The aim of this paper is to introduce a spectral sequence that converges to the cobordism groups of orbifolds with given isotropy representations. In good cases the E¹-term of this spectral sequence is given by a certain cobordism group of orbibundles over purely ineffective orbifolds which can be identified with the bordism group of the classifying space of the Weyl group of a finite subgroup of O(n). We use this spectral sequence to calculate some cobordism groups of orbifolds for...
Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A29. In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Borwein, Jonathan, Choi, Kwok-Kwong Stephen (2000)
Experimental Mathematics
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W. Mlak (1972)
Studia Mathematica
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Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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