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
Invariant subspaces for positive operators acting on a Banach space with Markushevich basis
Date
2004-06-01
Author
Ercan, Z
Onal, S
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
208
views
0
downloads
Cite This
We introduce 'weak quasinilpotence' for operators. Then, by substituting 'Markushevich basis' and 'weak quasinilpotence at a nonzero vector' for 'Schauder basis' and 'quasinilpotence at a nonzero vector', respectively, we answer a question on the invariant subspaces of positive operators in [ 3].
Subject Keywords
Theoretical Computer Science
,
Analysis
,
General Mathematics
URI
https://hdl.handle.net/11511/65080
Journal
POSITIVITY
DOI
https://doi.org/10.1023/b:post.0000042836.20430.c2
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Invariant subspaces of collectively compact sets of linear operators
Alpay, Safak; Misirlioglu, Tunc (Springer Science and Business Media LLC, 2008-01-01)
In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in alg Gamma satisfies Berger-Wang formula, where Gamma is a complete chain of subspaces of X.
On ideals generated by positive operators
Alpay, S; Uyar, A (Springer Science and Business Media LLC, 2003-06-01)
Algebra structure of principle ideals of order bounded operators is studied.
Characterizations of Riesz spaces with b-property
Alpay, Safak; ERCAN, ZAFER (Springer Science and Business Media LLC, 2009-02-01)
A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
A note on b-weakly compact operators
Alpay, Safak; Altin, Birol (Springer Science and Business Media LLC, 2007-11-01)
We consider a continuous operator T : E -> X where E is a Banach lattice and X is a Banach space. We characterize the b-weak compactness of T in terms of its mapping properties.
A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-Space
Alpay, S; Binhadjah, A; Emel'yanov, EY (Springer Science and Business Media LLC, 2006-03-01)
In this paper we construct a positive doubly power bounded operator with a nonpositive inverse on an AL-space.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
Z. Ercan and S. Onal, “Invariant subspaces for positive operators acting on a Banach space with Markushevich basis,”
POSITIVITY
, pp. 123–126, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65080.