2011
Blair F. Madore, Rubén A. Martínez Avendaño, Subspace Hypercyclicity, J. Math. Anal. Appl. 373 (2011) 502-511
Abstract
A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set. We construct examples to show that subspace-hypercyclicity is interesting, including a nontrivial subspace-hypercyclic operator that is not hypercyclic. There is a Kitai-like criterion that implies subspace-hypercyclicity and although the spectrum of a subspace-hypercyclic operator must intersect the unit circle, not every component of the spectrum will do so. We show that, like hypercyclicity, subspace-hypercyclicity is a strictly infinite-dimensional phenomenon. Additionally, compact or hyponormal operators can never be subspace-hypercyclic.
Propagation of Elastic Waves along Interfaces in Layered Beams
THE C*-ALGEBRAS ASSOCIATED TO TIME-t AUTOMORPHISMS OF MAPPING TORI
D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory
PROPAGATION OF ELASTIC WAVES ALONG INTERFACES IN LAYERED BEAMS
BlochFloquet waves and localisation within a heterogeneous waveguide with long cracks
REALIZATION OF A SIMPLE HIGHER DIMENSIONAL NONCOMMUTATIVE TORUS AS A TRANSFORMATION GROUP C*-ALGEBRA
Eigenvalues, K-theory and Minimal Flows
Slow decay of end effects in layered structures with an imperfect interface
Quasi-periodic breathers in Hamiltonian networks of long-range coupling