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kent1341850621.pdf (249.43 KB)
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Orbits of operators on Hilbert space and some classes of Banach spaces
Author Info
Kiteu, Marco M.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621
Abstract Details
Year and Degree
2012, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
We have studied diagonal operators on Hilbert space and some classes of Banach spaces.On the Hilbert space l2 we give the necessary and sufficient conditions for the diagonal operators to have hyperful orbits, that is,orbits where every subsequence spans the whole space. A consequence of this characterization is that for diagonal operators, either all cyclic vectors have hyperful orbits or none of the cyclic vectors has a hyperful orbit. Then, we extend some of these results to the spaces c0, C(0; 1), and L2[0; 1].On L2[0; 1] we consider a Multiplication Operator in place of a Diagonal Operator. We also study the case with complex scalars, we show that on every separable Banach space there are operators with hyperful orbits.
Committee
Dr.Per Enflo, PhD (Committee Chair)
Dr. Victor Lomonosov, PhD (Committee Member)
Dr. Artem Zvavitch, PhD (Committee Member)
Dr.Thomas Janson, PhD (Committee Member)
Dr.John Portman, PhD (Committee Member)
Pages
53 p.
Subject Headings
Mathematics
Keywords
Hyperful orbits
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Citations
Kiteu, M. M. (2012).
Orbits of operators on Hilbert space and some classes of Banach spaces
[Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621
APA Style (7th edition)
Kiteu, Marco.
Orbits of operators on Hilbert space and some classes of Banach spaces.
2012. Kent State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621.
MLA Style (8th edition)
Kiteu, Marco. "Orbits of operators on Hilbert space and some classes of Banach spaces." Doctoral dissertation, Kent State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621
Chicago Manual of Style (17th edition)
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Document number:
kent1341850621
Download Count:
542
Copyright Info
© 2012, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.