Regular basis and functor Ext
Author(s)
Advisor
Date
1994Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
97
views
views
39
downloads
downloads
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 SpaceNuclear 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/11693/17590Collections
Related items
Showing items related by title, author, creator and subject.
-
Zero sets of analytic function spaces on the unit disk
Bavaş, Berk (Bilkent University, 2018-07)We survey some known results on the zero sets of two families of analytic function spaces and another single space de ned on the unit disk in the complex plane. We investigate mostly the basic properties of the zero sets ... -
Invariant weakly positive semidefinite kernels with values in topologically ordered ∗-spaces
Ay, Serdar; Gheondea, Aurelian (Instytut Matematyczny PAN, 2019)We consider weakly positive semidefinite kernels valued in ordered ∗-spaces with or without certain topological properties, and investigate their linearisations (Kolmogorov decompositions) as well as their reproducing ... -
Corrigendum to “representations of ⁎-semigroups associated to invariant kernels with values adjointable operators” [Linear Algebra Appl. 486 (2015) 361–388]
Ay, Serdar; Gheondea, Aurelian (2020)We correct a lemma by adding the assumption that the ordered ⁎-space is Archimedean and show by counter-examples and examples that this is needed.