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Spectral theory for
linear relations via linear operators
Dana Gheorghe and Florian-Horia Vasilescu |
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Vol. 255 (2012), No. 2, 349–372
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Abstract |
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We develop a spectral theory for closed linear operators of the form T : D(T) ⊂ X↦X∕X0, where X is a complex Banach space and X0 a closed vector subspace of it. This approach, essentially expressed in terms of linear operators, provides a better understanding of the spectral theory for closed linear relations. |
Keywords
linear relations, spectrum, analytic functional calculus
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Mathematical Subject Classification 2010
Primary: 47A06, 47A10, 47A60
Secondary: 47A56
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Milestones
Received: 8 March 2011
Accepted: 16 June 2011
Published: 10 April 2012
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Authors |
| Dana Gheorghe | |
| Military Technical Academy Bld - George Cosbuc, No. 81-83 RO-050141 Bucharest Romania |
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| Florian-Horia Vasilescu | |
| Department of Mathematics University of Lille 1 59655 Villeneuve d’Ascq France |
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