Ertuğrul, Zehra2016-01-082016-01-081994http://hdl.handle.net/11693/17590Ankara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 1994.Thesis (Master's) -- Bilkent University, 1994.Includes bibliographical references leaves 52-53This work is a study of the relation between the vanishing of Ext functor and the existence of regular bases in the cartesian product and tensor product of some special Kothe spaces. We give some new results concerning Sg Spaces in Chapter 3 and the study in the last chapter is about the existence of pseudo-regular bases in the cartesian product and tensor product of two regular Schwartz Kothe spaces E and F , one of which having property (DN), when Ext(E x F,E x F) vanishes.vii, 53 leavesEnglishinfo:eu-repo/semantics/openAccessFrechet SpaceNuclear SpaceSchwartz SpaceKothe matrixKothe SpaceDragilev {Lf{a,r)) SpaceSg{a,r) SpaceRegular BasisPseudo-Regular BasisFunctor ExtProperty HPProperty HP )(1QA322 .E78 1994Nuclear spaces.Freched spaces.Schwartz spaces.Thesis