Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces
Joint Authors
Çakan, Sümeyye
Yılmaz, Yılmaz
Bozkurt, Hacer
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Aseev launched a new branch of functional analysis by introducing the theory of quasilinear spaces in the framework of the topics of norm, bounded quasilinear operators and functionals (Aseev (1986)).
Furthermore, some quasilinear counterparts of classical nonlinear analysis that lead to such result as Frechet derivative and its applications were examined deal with.
This pioneering work causes a lot of results in such applications such as (Rojas-Medar et al.
(2005), Talo and Başar (2010), and Nikol'skiĭ (1993)).
His work has motivated us to introduce the concept of quasilinear inner product spaces.
Thanks to this new notion, we obtain some new theorems and definitions which are quasilinear counterparts of fundamental definitions and theorems in linear functional analysis.
We claim that some new results related to this concept provide an important contribution to the improvement of quasilinear functional analysis.
American Psychological Association (APA)
Bozkurt, Hacer& Çakan, Sümeyye& Yılmaz, Yılmaz. 2014. Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-458076
Modern Language Association (MLA)
Bozkurt, Hacer…[et al.]. Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces. International Journal of Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-458076
American Medical Association (AMA)
Bozkurt, Hacer& Çakan, Sümeyye& Yılmaz, Yılmaz. Quasilinear Inner Product Spaces and Hilbert Quasilinear Spaces. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-458076
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458076