An n-tuple of operators V=(V_1,…,V_n) acting on a Hilbert space H is said to be isometric if the corresponding row operator is an isometry. A free semigroup algebra is the weakly closed algebra generated by an isometric n-tuple V. The structure of a free semigroup algebra contains a great deal of information about V. Thus it is natural to study this algebra in order to study V. A free semigroup algebra is said to be analytic if it is isomorphic to the noncommutative analytic Toeplitz algebra, which is a higher-dimensional generalization of the classical algebra of bounded analytic functions on the complex unit disk. This notion of analyticity is of central importance in the general theory of free semigroup algebras. A vector x in H is said to be wandering for an isometric n-tuple V if the set of words in the entries of V map x to an orthonormal set. As in the classical case, the analytic structure of the noncommutative analytic Toeplitz algebra is determined by the existence of wandering vectors for the generators of the algebra. In the first part of this thesis, we prove the following dichotomy: either an isometric n-tuple V has a wandering vector, or the free semigroup algebra it generates is a von Neumann algebra. This implies the existence of wandering vectors for every analytic free semigroup algebra. As a consequence, it follows that every free semigroup algebra is reflexive, in the sense that it is completely determined by its invariant subspace lattice. In the second part of this thesis we prove a decomposition for an isometric tuple of operators which generalizes the classical Lebesgue-von Neumann-Wold decomposition of an isometry into the direct sum of a unilateral shift, an absolutely continuous unitary and a singular unitary. The key result is an operator-algebraic characterization of an absolutely continuous isometric tuple in terms of analyticity. We show that, as in the classical case, this decomposition determines the weakly closed algebra and the von Neumann algebra generated by the tuple.

Studying the responsiveness of specific central nervous system (CNS) pathways to electrical or magnetic stimulation can provide important information regarding fatigue processes occurring as a result of ongoing muscle activity. While there are some studies assessing CNS responsiveness during sustained maximal voluntary contractions (MVCs) few papers have examined such changes during sustained submaximal contractions, particularly in muscles of the lower limbs. The location of the underlying central fatigue process can be partially determined by assessing the responsiveness to magnetic or electrical stimulation at different sites along the CNS. This has been investigated during maximal and submaximal contractions in the upper limb muscles, however changes in corticospinal responsiveness at different CNS locations has yet to be determined during fatigue of lower limb muscles. Therefore, the focus of this study was to investigate changes in corticospinal responsiveness during a sustained submaximal contraction of the triceps surae. Comparisons were made between the size of motor evoked potentials (MEPs) elicited by motor cortical stimulation and cervicomedullary motor evoked potentials (CMEPs) elicited via magnetic stimulation of the descending tracts, in order to determine the site of any change in corticospinal responsiveness. Participants maintained an isometric contraction of triceps surae at 30% of MVC for as long as possible on two occasions. Stimulation was applied either to the motor cortex or to the cervicomedullary junction every minute during a contraction until task failure. Peripheral nerve stimulation was also applied to evoke maximal M-waves (Mmax) and a superimposed twitch. Additionally, MEPs and CMEPs were evoked during brief contractions at 80, 90 and 100% MVC as a non-fatigue control. During the sustained contractions, MEP size increased significantly in both soleus (113%; SOL) and medial gastrocnemius (108%; MG) and at endurance limit matched MEP size in the pre-fatigue MVC (≈20-25% Mmax). In contrast, CMEP size increased significantly in MG (51%) but not in SOL (63%), and at endurance limit was significantly smaller than during pre-fatigue MVC (5-6% Mmax versus 11-13% Mmax). The data indicate that cortical processes contribute substantially to the increase in corticospinal responsiveness observed during sustained submaximal contraction of triceps surae. The strength of corticospinal projections and the upper-limit of motor unit recruitment may explain differences in corticospinal responsiveness between SOL and upper arm muscles. Furthermore, differences in motor unit recruitment and firing rate may explain differences in spinal responsiveness between submaximal and maximal voluntary contractions.

Thesis (Ph.D.)--Edith Cowan University, 2007. / "Including: 1. Testing and the relationship of upper body muscular strength, power, speed and strength-endurance to playing position and status in professional rugby league players; 2. Acute training methods that affect the development of upper body muscular power; and 3. Chronic adaptations - the nature, scope and methodology of long-term adaptations in upper body strength and power."--T.p. Submitted to the Faculty of Computing, Health and Science. Includes bibliographical references.

Thesis (Ph.D.)--Baylor University, 2008. / Includes bibliographical references (p. 100-109)

Thesis (Ph.D.)--Baylor University, 2008. / Includes bibliographical references (p. 121-133)

Thesis (Ph.D.)--Baylor University, 2008. / Includes bibliographical references (p. 122-138)

Thesis (Ph. D.)--West Virginia University, 2005. / Title from document title page. Document formatted into pages; contains vii, 107 p. : ill. (some col.). Includes abstract. Includes bibliographical references.

Thesis (M.S.)--California State University, Northridge, 2004. / Includes bibliographical references (leaves 97-106). Also available online (PDF file) by a subscription to the set or by purchasing the individual file.

Thesis (M.S. Ed.)--Northern Illinois University, 2003. / Includes bibliographical references. Also available online (PDF file) by a subscription to the set or by purchasing the individual file.

Thesis (M.S. Ed.)--Northern Illinois University, 2003. / Includes bibliographical references.