Between July and September, 1985, 70 ranchers, environmentalists and agency officials participating in three chartered Experimental Stewardship Program (ESP) areas were interviewed. Committee records and agency documents were also examined. As a result of the field work three conclusions were reached: (1) conflicts over grazing decisions have been significantly reduced by the stewardship process, (2) available data is insufficient to support conclusions about changes in the ecological status of the plant communities within the stewardship areas and (3) the annual economic value of rangeland recreation exceeds all other rangeland outputs on all three areas studied.

Inaug.-diss.--Munich. / Lebenslauf. "Literaturverzeichnis": p. 59-61.

Let B(H) denote the algebra of bounded linear operators on a complex Hilbert space H. The (classical) numerical range of T ∈ B(H) is the set W(T) = {〈T x; x〉: x ∈ H; ‖x‖ = 1} Writing T= T_1 + iT_2 for self-adjoint T_1, T_2 ∈ B(H), W(T) can be identified with the set {(〈T_1 x, x〉,〈T_2 x, x〉) : x ∈ H, ‖x‖ = 1}. This leads to the notion of the joint numerical range of T= 〖(T〗_1, T_2, …, T_n) ∈ 〖B(H)〗^n. It is defined by W(T) = {(〈T_1 x, x〉,〈T_2 x, x〉, …, 〈T_n x, x〉) : x ∈ H, ‖x‖ = 1}. The joint numerical range has been studied extensively in order to understand the joint behaviour of operators. Let K(H) be the set of all compact operators on a Hilbert space H. The essential numerical range of T ∈ B(H) is defined by W_(e ) (T)=∩{W(T+K) :K∈K(H) }. The joint essential numerical range of T= 〖(T〗_1, T_2, …, T_n) ∈〖 B(H)〗^n is defined analogously by W_(e ) (T)=∩{ /W(T+K) :K∈〖K(H)〗^n }. These notions have been generalized to operators on a Banach space. In Chapter 1 of this thesis, the joint spatial essential numerical range were introduced. Also the notions of the joint algebraic numerical range V(T) and the joint algebraic essential numerical range Ve(T) were reviewed. Basic properties of these sets were given. In 2010, Müller proved that each n-tuple of operators T on a separable Hilbert space has a compact perturbation T + K so that We(T) = W(T + K). In Chapter 2, it was shown that any n-tuple T of operators on lp has a compact perturbation T +K so that Ve(T) = V (T +K), provided that Ve(T) has an interior point. A key step was to find for each n-tuple of operators on lp a compact perturbation and a sequence of finite-dimensional subspaces with respect to which it is block 3 diagonal. This idea was inspired by a similar construction of Chui, Legg, Smith and Ward in 1979. Let H and L be separable Hilbert spaces and consider the operator D_AB=A⨂I_L⨂B on the tensor product space H ⨂▒L. In 1987 Magajna proved that W_(e ) (D_AB )=co[W_(e ) (A)- /(W(B)))∪/W(A) - W_(e ) (B))] by considering quasidiagonal operators. An alternative proof of the equality was given in Chapter 3 using block 3 diagonal operators. The maximal numerical range and the essential maximal numerical range of T ∈ B(H) were introduced by Stampi in 1970 and Fong in 1979 respectively. In 1993, Khan extended the notions to the joint essential maximal numerical range. However the set may be empty for some T ∈ B(H). In Chapter 4, the kth joint essential maximal numerical range, spatial maximal numerical range and algebraic numerical range were introduced. It was shown that kth joint essential maximal numerical range is non-empty and convex. Also, it was shown that the kth joint algebraic maximal numerical range is the convex hull of the kth joint spatial maximal numerical range. This extends the corresponding result of Fong. / published_or_final_version / Mathematics / Master / Master of Philosophy

published_or_final_version / Mathematics / Master / Master of Philosophy

published_or_final_version / Mathematics / Master / Master of Philosophy

Univ., Diss.--Frankfurt/Main, 1997. / Literaturverz. S. 155 - 169.

Thesis (M. Phil.)--University of Hong Kong, 1998. / Includes bibliographical references (leaves 81-87).

Thesis (M. Phil.)--University of Hong Kong, 1999. / Includes bibliographical references (leaves 56-59).

International Telemetering Conference Proceedings / October 20-23, 2003 / Riviera Hotel and Convention Center, Las Vegas, Nevada / Test and training ranges have sought the holy grail of large-scale range interconnectivity for many years. The ability to test at any range and transmit the information to the engineers at the home base and control the mission without sending the entire test team to a remote location improves the test schedules, reduces the cost of testing and improves the testing capabilities. New opportunities of interconnecting ranges are changing the business of open air range testing and the resulting capabilities. Two predominant opportunities will be discussed in this paper. First, is taking advantage of the fiber glut that the US is currently experiencing along with opportunities for government-acquired assets to service the testing community. This approach provides the government the ability to fiber-optically create a virtual test range and provide full interconnectivity of all data. Second is to take advantage of the existing networks such as the Defense Research Engineering Network (DREN) to make efficient on-demand type connectivity where, otherwise, it would be cost prohibitive.

Grazing trials were conducted on irrigated fall/winter pastures near Maricopa, Arizona where 270 feeder lambs were stocked in 16-ha paddocks to explore the use of grazing behavior as an indicator of forage quantity and quality. Sheep behavior was monitored by filming the grazing periods with a VHS camera and recording the length of time that an individual spent at a feeding station, defined here as a feeding station interval. Other measurements included observed steps between feeding stations (step-sets), feeding stations min⁻¹, steps min⁻¹ and biting rate. As grazing progressed, lambs increased the number of feeding station intervals that were less than 5 seconds long and increased the number of feeding stations min⁻¹ significantly (p ≤ 0.05). Feeding stations min⁻¹ were negatively correlated (r ≤ -0.94) with crude protein, digestible energy and quantity of selected forage. Throughout the grazing trial lambs appeared to prefer the leaves to the stems. Steps min⁻¹ were only moderately correlated to forage quantity and quality. Bites min⁻¹ were not correlated to forage quantity and quality. Feeding stations min⁻¹ as a method of monitoring animal behavior during feeding periods might allow the manager to recognize nutritional limitations in the available forage and perhaps adjust management strategies accordingly.