Conditions for uniqueness of fractional powers

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dc.contributor.authorPastor, Javier
dc.date.accessioned2024-07-12T20:49:52Z
dc.date.available2024-07-12T20:49:52Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIt is well-known the important role that plays, in relation to Cauchy problems associated to an operator A, the fact that A has an additive family of closed operators {At}t>0, A1 ? A, such that the operator ?At is the generator of a semigroup of bounded linear operators for small exponents t. The need of considering the inverse, the closure or the adjoint of single-valued linear operator leads in a natural way to deal with multivalued linear operator. Applications of multivalued methods to degenerated evolution equations can be found in [1]. A theory of fractional powers for nonnegative multivalued linear operators in a complex Banach space was introduced in [4]. This work is devoted to the study of uniqueness of a continuous semigroup of fractional powers for a nonnegative multivalued linear operator A. In [3] we can find several uniqueness results in the single-valued case. Very recently, in [1], it has been established a uniqueness result analogous to the presented here, but only for injective single-valued and nonnegative linear operators.en_US
dc.identifier.citationPastor, J. (2009). Conditions for uniqueness of fractional powers. Maltepe Üniversitesi. s. 218.en_US
dc.identifier.endpage219en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage218en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2248
dc.institutionauthorPastor, Javier
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07575
dc.titleConditions for uniqueness of fractional powersen_US
dc.typeConference Object
dspace.entity.typePublication

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