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Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243) |
SM ISO690:2012 BULUT, Alper. K-loops from classical subgroups of GL(H), H being a separable Hilbert space. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 205-210. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848 | ||||||
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CZU: 512.81+517.984 | ||||||
Pag. 205-210 | ||||||
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We study some examples of in_nite dimensional K-loops from subgroups of invertible bounded linear operators GL(H), where H is in_nite dimensional separable Hilbert space. We use Kreuzer and Wefelscheid method given in [10] to show that if G is one of the classical complex Banach Lie group in fGL(H);O(H; JR); Sp(H; JQ)g, then the intersection of G and the set of positive self-adjoint operators form a K-loop with respect to a new binary operation induced by the group operation in G. |
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