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      Regular basis and functor Ext

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      Author(s)
      Ertuğrul, Zehra
      Advisor
      Kocatepe, Mefharet
      Date
      1994
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      This 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.
      Keywords
      Frechet Space
      Nuclear Space
      Schwartz Space
      Kothe matrix
      Kothe Space
      Dragilev {Lf{a,r)) Space
      Sg{a,r) Space
      Regular Basis
      Pseudo-Regular Basis
      Functor Ext
      Property HP
      Property HP )(1
      Permalink
      http://hdl.handle.net/11693/17590
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      • Dept. of Mathematics - Master's degree 125
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