I mean, quasi Hilbert space is a quasi normed space induced by quasi inner product space where the third condition of norm function is :
|| x+y|| is less than or equal to
k ||x||+ ||y|| and
k is greater than or equal to 1
regards
Dear Raheam,
This paper discusses about quasi linear spaces in general and on section 3, it explicitly discusses about quasi linear inner product spaces with few good examples in 3.1 and about quasi Hilbert spaces in 3.2.
Hope it helps.
http://www.hindawi.com/journals/ijanal/2014/258389/
Take a look here:
https://scholar.google.com/scholar?hl=el&q=quasi+-Hilbert+space&btnG=
Dear @Raheam, here is the link to the 960 articles on quasi Hilbert space. It is Research gate publication database! Hope it will be helpful! I was looking in MIT data base with the same search parameters, but most of the papers were not available!
https://www.researchgate.net/publicliterature.PublicLiterature.search.html?type=keyword&search-keyword=quasi+hilbert+space&search-abstract=&search-journal=&search=Search
Dear Ljubomir Jacić
thank you so much for your interested informations
Regards
Rahaem,
Is this what you want?
file:///C:/Users/edgar/Downloads/conop-2014-0003.pdf
http://nyjm.albany.edu/j/2012/18-27v.pdf
http://www.emis.de/journals/AFA/AFA-tex_v1_n1_a10.pdf
http://link.springer.com/article/10.1007/s12543-013-0152-2
http://link.springer.com/chapter/10.1007/978-1-4757-9256-0_10
Dear Raheam;
I think this paper was published in bulletin of mathematical analysis and applications in 2011,vol.3,no.2,p:213-228. with thanks
Dear Mohemid Al-Jebouri
Thank you so much for your proposed and interested paper
regards
Try to open the following link. This is a good paper by D. Muklherjee.
www.sciencedirect.com/science/article/pii/0009261489800302
Dear Rodolfo Gustavo Cionco
Thank you so much for your information
This is a good question.
A good introduction to quasi Hilbert spaces is given in
T. Deshpande, Cones, Lattices and Hilbert Bases of Cuts, M.Sc. thesis, Simon Fraser University, 2013:
http://people.math.sfu.ca/~goddyn/Theses/deshpandeMScThesis.pdf
See Section 3.1, starting on page 20, on Hilbert bases. A nice example of a quasi-Hilbert element of the triangular faces of a cut cone is given in Fig. 3.1, page 21.
Quasi-Hilbert modules are introduced in
Thu Hoai, Le, Holomorphic structures and corresponding explicit orthogonal function systems in 3D and 4D, Ph.D. thesis, Technische Universitaet Bergakademie Freiberg, 2014:
http://www.qucosa.de/fileadmin/data/qucosa/documents/15050/thesis_Le_Freiberg_2014.pdf
See page 26 and Section 6.2, starting on page 133, on right quasi-Hilbert modules.
Dear James F PetersT
hank you so much for your reply
Best Regards
New paper
http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA083191
https://hal.archives-ouvertes.fr/hal-01107797/document
Dear Mostafa Eidiani
Thank so much for your information
Best Regards
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