Current Search:  Operator theory (x)

View All Items

  • CSV Spreadsheet
(1 - 3 of 3)
Higher order commutators in the method of orbits
Title
Higher order commutators in the method of orbits.
Creator
Kasprikova, Eva., Charles E. Schmidt College of Science, Department of Mathematical Sciences
Abstract/Description
Benson spaces of higher order are introduced extending the idea of N. Krugljak and M. Milman, A distance between orbits that controls commutator estimates and invertibilty of operators, Advances in Mathematics 182 (2004), 78-123. The concept of Benson shift operators is introduced and a class of spaces equipped with these operators is considered. Commutator theorems of higher order on orbit spaces generated by a single element are proved for this class. It is shown that these results apply to...
Show moreBenson spaces of higher order are introduced extending the idea of N. Krugljak and M. Milman, A distance between orbits that controls commutator estimates and invertibilty of operators, Advances in Mathematics 182 (2004), 78-123. The concept of Benson shift operators is introduced and a class of spaces equipped with these operators is considered. Commutator theorems of higher order on orbit spaces generated by a single element are proved for this class. It is shown that these results apply to the complex method of interpolation and to the real method of interpolation for the case q=1. Two new characterizations are presented of the domain space of the "derivation" operator in the context of orbital methods. Comparisons to the work of others are made, especially the unifying paper of M. Cwikel, N. Kalton, M. Milman and R. Rochberg, A United Theory of Commutator Estimates for a Class of Interpolation Methods, Advances in Mathematics 169 2002, 241-312.
Show less
Date Issued
2009
PURL
http://purl.flvc.org/FAU/2684304
Subject Headings
Operator theory, Interpolation spaces, Finite groups, Sporadic groups (Mathematics)
Format
Document (PDF)
On the spectrum of positive operators
Title
On the spectrum of positive operators.
Creator
Acharya, Cheban P., Charles E. Schmidt College of Science, Department of Mathematical Sciences
Abstract/Description
Spectral theory, mathematical system theory, evolution equations, differential and difference equations [electronic resource] : 21st International Workshop on Operator Theory and Applications, Berlin, July 2010.It is known that lattice homomorphisms and G-solvable positive operators on Banach lattices have cyclic peripheral spectrum (See [17]). In my thesis I prove that positive contractions whose spectral radius is 1 on Banach lattices with increasing norm have cyclic peripheral point...
Show moreSpectral theory, mathematical system theory, evolution equations, differential and difference equations [electronic resource] : 21st International Workshop on Operator Theory and Applications, Berlin, July 2010.It is known that lattice homomorphisms and G-solvable positive operators on Banach lattices have cyclic peripheral spectrum (See [17]). In my thesis I prove that positive contractions whose spectral radius is 1 on Banach lattices with increasing norm have cyclic peripheral point spectrum. I also prove that if the Banach lattice is a K B space satisfying the growth conditon and º is an eigenvalue of a positive contraction T such that [º] = 1, then 1 is also an eigenvalue of T as well as an eigenvalue of T¨, the dual of T. I also investigate the conditions on contraction operators on Hilbert lattices and AL-spaces which guanantee that 1 is an eigenvalue. As we know from [17], if T : E-E is a positive ideal irreducible operator on E such the r (T) = 1 is a pole of the resolvent R(º, T), then r (T) is simple pole with dimN (T -r(T)I) and ºper(T) is cyclic. Also all points of ºper(T) are simple poles of the resolvent R(º,T). SInce band irreducibility and º-order continuity do not imply ideal irreducibility [2], we prove the analogous results for band irreducible, º-order continuous operators.
Show less
Date Issued
2012
PURL
http://purl.flvc.org/FAU/3359288
Subject Headings
Operator theory, Evolution equations, Banach spaces, Linear topological spaces, Functional analysis
Format
Document (PDF)
Moving Mountains: Animal Rights Organizations, Emotion, and Autodidactic Frame Alignment
Title
Moving Mountains: Animal Rights Organizations, Emotion, and Autodidactic Frame Alignment.
Creator
Jarvis, Lee Charles Jr., Goodrick, Elizabeth, Florida Atlantic University, College of Business, Department of Management
Abstract/Description
Animal rights organizations, in attempting to affect institutional change in industrial animal agriculture, face an institutional mountain. I show how these organizations, though contesting institutions which are highly reified, tacitly endorsed, and historically inertial, leverage emotional experiences and regulation to incrementally move this mountain. Using a grounded qualitative study of interview data from animal rights advocates and archival data generated by animal rights organizations...
Show moreAnimal rights organizations, in attempting to affect institutional change in industrial animal agriculture, face an institutional mountain. I show how these organizations, though contesting institutions which are highly reified, tacitly endorsed, and historically inertial, leverage emotional experiences and regulation to incrementally move this mountain. Using a grounded qualitative study of interview data from animal rights advocates and archival data generated by animal rights organizations, this study finds that animal rights organizations have encoded both response- and antecedent-focused emotion regulation into two distinct strategies used to garner support for their institutional change project: transgression mining and seed planting. Furthermore, this study expounds upon the role of moral emotional experiences in the individual-level process by which persons alternate into support for animal rights organizations and their goals, here labeled autodidactic frame alignment. Drawing on Goffman’s backstage/frontstage distinction, this study illustrates how emotion’s role in institutional change efforts varies across both level of analysis and areas of interactive life. In doing so, this research adds empirical weight to and extends recent theoretical work expounding upon the emotionally-charged nature of the lived experience of institutions.
Show less
Date Issued
2016
PURL
http://purl.flvc.org/fau/fd/FA00004645, http://purl.flvc.org/fau/fd/FA00004645
Subject Headings
Communication in organizations, Corporate culture, Grounded theory, Management -- Psychological aspects, Operations research, Organizational behavior, Organizational change, Psychology, Industrial
Format
Document (PDF)