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Abstract splines in Krein spaces |
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| Authors: | JI Giribet A Maestripieri F Martínez Pería |
| Institution: | a Departamento de Matemática, FI-UBA, Paseo Colón 850, (1063) Buenos Aires, Argentina b Departamento de Matemática, FCE-UNLP, CC 172, (1900) La Plata, Argentina c Instituto Argentino de Matemática “Alberto Calderón” - CONICET, Saavedra 15, Piso 3, (1083) Buenos Aires, Argentina |
| Abstract: | We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and V:H→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems  and  . |
| Keywords: | Krein spaces Abstract splines Oblique projections |
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