On spectral properties and extensions of bounded linear operators
If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spe...
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| Veröffentlicht in: | Boletín de matemáticas 2015-01, Vol.22 (2), p.177-190 |
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| container_title | Boletín de matemáticas |
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| creator | Carpintero, Carlos Rosas, Ennis Sanabria, José García, Orlando Rodríguez, Jorge |
| description | If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa. |
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| subjects | Boundary value problems Linear equations Mathematics operador semi Fredholm poles of the resolvent polos del resolvente propiedad de la extensión univaluada Propiedades espectrales semi Fredholm operator single Spectral properties valued extension property |
| title | On spectral properties and extensions of bounded linear operators |
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