Basis in nuclear Frechet spaces

Download
index.pdf
2006
Erkurşun, Nazife
Show full item record
323
views
144
downloads
Existence of basis in locally convex space has been an important problem in functional analysis for more than 40 years. In this thesis the conditions for the existence of basis are examined. These thesis consist of three parts. The first part is about the exterior interpolative conditions. The second part deals with the inner interpolative conditions on nuclear frechet space. These are sufficient conditions on existence of basis. In the last part, it is shown that for a regular nuclear Köthe space the inner interpolative conditions are satisfied and moreover another type of inner interpolative conditions are introduced.
Analysis.
http://etd.lib.metu.edu.tr/upload/12607104/index.pdf
https://hdl.handle.net/11511/15840
Graduate School of Natural and Applied Sciences, Thesis

Suggestions

NORMAL SOLVABILITY OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON ASYMPTOTICALLY FLAT MANIFOLDS
ERKIP, AK; SCHROHE, E (Elsevier BV, 1992-10-01)
Normal solvability is shown for a class of boundary value problems on Riemannian manifolds with noncompact boundary using a concept of weighted pseudodifferential operators and weighted Sobolev spaces together with Lopatinski-Shapiro type boundary conditions. An essential step is to show that the standard normal derivative defined in terms of the Riemannian metric is in fact a weighted pseudodifferential operator of the considered class provided the metric is compatible with the symbols.
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...
Attractors for the generalized Benjamin-Bona-Mahony equation
Celebi, AO; Kalantarov, VK; Polat, Mustafa Uğur (Elsevier BV, 1999-09-20)
We consider the periodic initial-boundary value problem for a multidimensional generalized Benjamin-Bona-Mahony equation. We show the existence of the global attractor with a finite Fractal dimension and the existence of the exponential attractor for the corresponding semigroup. (C) 1999 Academic Press.
Comparison of missing value imputation methods for meteorological time series data
Aslan, Sipan; Yozgatlıgil, Ceylan; Department of Statistics (2010)
Dealing with missing data in spatio-temporal time series constitutes important branch of general missing data problem. Since the statistical properties of time-dependent data characterized by sequentiality of observations then any interruption of consecutiveness in time series will cause severe problems. In order to make reliable analyses in this case missing data must be handled cautiously without disturbing the series statistical properties, mainly as temporal and spatial dependencies. In this study we ai...
Multiresolution analysis of S&P500 time series
KILIC, Deniz Kenan; Uğur, Ömür (2018-01-01)
Time series analysis is an essential research area for those who are dealing with scientific and engineering problems. The main objective, in general, is to understand the underlying characteristics of selected time series by using the time as well as the frequency domain analysis. Then one can make a prediction for desired system to forecast ahead from the past observations. Time series modeling, frequency domain and some other descriptive statistical data analyses are the primary subjects of this study: i...
Citation Formats
N. Erkurşun, “Basis in nuclear Frechet spaces,” M.S. - Master of Science, Middle East Technical University, 2006.
METU IIS - Integrated Information Service open@metu.edu.tr