Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A note on Riesz spaces with property-b
Download
index.pdf
Date
2006-01-01
Author
Alpay, S.
Altin, B.
Tonyali, C.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
215
views
0
downloads
Cite This
We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/66850
Journal
CZECHOSLOVAK MATHEMATICAL JOURNAL
DOI
https://doi.org/10.1007/s10587-006-0054-0
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
A generalisation of the Morse inequalities
Bhupal, Mohan Lal (Cambridge University Press (CUP), 2001-06-01)
In this paper we construct a family of variational families for a Legendrian embedding, into the 1-jet bundle of a closed manifold, that can be obtained from the zero section through Legendrian embeddings, by discretising the action functional. We compute the second variation of a generating function obtained as above at a nondegenerate critical point and prove a formula relating the signature of the second variation to the Maslov index as the mesh goes to zero. We use this to prove a generalisation of the ...
NONCOMMUTATIVE MACKEY THEOREM
Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01)
In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
Concrete description of CD0(K)-spaces as C(X)-spaces and its applications
Ercan, Z (American Mathematical Society (AMS), 2004-01-01)
We prove that for a compact Hausdorff space K without isolated points, CD0(K) and C(K x {0, 1}) are isometrically Riesz isomorphic spaces under a certain topology on K x {0, 1}. Moreover, K is a closed subspace of K x {0, 1}. This provides concrete examples of compact Hausdorff spaces X such that the Dedekind completion of C(X) is B(S) (= the set of all bounded real-valued functions on S) since the Dedekind completion of CD0(K) is B(K) (CD0(K, E) and CDw (K, E) spaces as Banach lattices).
An observation on realcompact spaces
Ercan, Z (American Mathematical Society (AMS), 2006-01-01)
We give a characterization of realcompact spaces in terms of nets. By using the technique of this characterization we give easy proofs of the Tychonoff Theorem and the Alaoglu Theorem.
A remark on CD0(K)-spaces
Alpay, S.; Ercan, Z. (Springer Science and Business Media LLC, 2006-05-01)
A representation of the CDo (K)-space is given in [1, 2] for a compact Hausdorff space K without isolated points. We generalize this to an arbitrary countably compact space K without any assumption on isolated points.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Alpay, B. Altin, and C. Tonyali, “A note on Riesz spaces with property-b,”
CZECHOSLOVAK MATHEMATICAL JOURNAL
, pp. 765–772, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66850.