@unpublished{GilKrainerMendoza2004, author = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.}, title = {Geometry and spectra of closed extensions of elliptic cone operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26815}, year = {2004}, abstract = {We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.}, language = {en} } @unpublished{GilKrainerMendoza2004, author = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.}, title = {Resolvents of elliptic cone operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26820}, year = {2004}, abstract = {We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.}, language = {en} } @article{GilKrainerMendoza2006, author = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.}, title = {Resolvents of elliptic cone operators}, series = {Journal of functional analysis}, volume = {241}, journal = {Journal of functional analysis}, number = {1}, publisher = {Elsevier}, address = {San Diego}, issn = {0022-1236}, doi = {10.1016/j.jfa.2006.07.010}, pages = {1 -- 55}, year = {2006}, abstract = {We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.}, language = {en} } @unpublished{GilKrainerMendoza2006, author = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.}, title = {On rays of minimal growth for elliptic cone operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30064}, year = {2006}, abstract = {We present an overview of some of our recent results on the existence of rays of minimal growth for elliptic cone operators and two new results concerning the necessity of certain conditions for the existence of such rays.}, language = {en} }