Isomorphisms of l-Köthe spaces

Karapınar, Erdal
In this thesis, we study on l-Köthe spaces. By the help of interpolation theory, we use linear topological invariants to get isomorphisms of Cartesian products of l-power series spaces. We also see that multirectangular n-equivalent characteristics is linear toplogical invariant for power l-Köthe spaces of first type.


Some remarks on vector-valued integration
Kadets, Vladimir; Shumyatskiy, Boris; Shvidkoy, Roman; Zheltukhın, Kostyantyn; Tseytlin, Leonid (2002-02-01)
The paper continues the study of the notion of Riemann–Lebesgue integral, which was introduced before by two of the authors. The result about the convexity of the limit set of integral sums is generalized to the case of weakly-compactly generated spaces. The notion of Riemann–Lebesgue integral is used to introduce new classes of Banach spaces. The properties of these new spaces are studied.
Urban culture and space relations : \ Sakarya Caddesi as an entertainment space in Ankara
Yetkin, Sultan; Rittersberger Tılıç, Helga İda; Department of Sociology (2004)
The purpose of this thesis is to research the relation between spatial structures and social relations including the cultural ones. This study specifically researches the relation between the construction and the representation of urban space and urban culture in Sakarya Caddesi as an instance of society-space interaction. This research focuses on Sakarya Caddesi where various urban cultural practices such as entertainment, has intensified. It deals with the constitution and representation of this entertain...
Local operator spaces, unbounded operators and multinormed C*-algebras
Dosiev, Anar (Elsevier BV, 2008-10-01)
In this paper we propose a representation theorem for local operator spaces which extends Ruan's representation theorem for operator spaces. Based upon this result, we introduce local operator systems which are locally convex versions of the operator systems and prove Stinespring theorem for local operator systems. A local operator C*-algebra is an example of a local operator system. Finally, we investigate the injectivity in both local operator space and local operator system senses, and prove locally conv...
Asymptotic equivalence of differential equations and asymptotically almost periodic solutions
Akhmet, Marat; Zafer, A. (Elsevier BV, 2007-09-15)
In this paper we use Rab's lemma [M. Rab, Uber lineare perturbationen eines systems von linearen differentialgleichungen, Czechoslovak Math. J. 83 (1958) 222-229; M. Rab, Note sur les formules asymptotiques pour les solutions d'un systeme d'equations differentielles lineaires, Czechoslovak Math. J. 91 (1966) 127-129] to obtain new sufficient conditions for the asymptotic equivalence of linear and quasilinear systems of ordinary differential equations. Yakubovich's result [V.V. Nemytskii, VX Stepanov, Qualit...
Integral manifolds of differential equations with piecewise constant argument of generalized type
Akhmet, Marat (Elsevier BV, 2007-01-15)
In this paper we introduce a general type of differential equations with piecewise constant argument (EPCAG). The existence of global integral manifolds of the quasilinear EPCAG is established when the associated linear homogeneous system has an exponential dichotomy. The smoothness of the manifolds is investigated. The existence of bounded and periodic solutions is considered. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Ap...
Citation Formats
E. Karapınar, “Isomorphisms of l-Köthe spaces,” Ph.D. - Doctoral Program, Middle East Technical University, 2004.