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Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years. This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present. A broad range of topics is covered, such as nonlinear functional analysis, linear operator theory, theory of operator algebras, applications including the solvability of some partial differential equations, and special spaces that contain Banach spaces and topological vector spaces. Some of these papers have made a significant impact on the mathematical community worldwide. Audience: This volume will be of interest to mathematicians, physicists and engineers at postgraduate level.
The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals. The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored. Functional Analysis Methods for Reliability Models is an excellent reference for graduate students and researchers in operations research, applied mathematics and systems engineering.
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This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.
Spectral analysis of linear operators has always been one of the more active and important fields of operator theory, and of extensive interest to many operator theorists. Its devel opments usually are closely related to certain important problems in contemporary mathematics and physics. In the last 20 years, many new theories and interesting results have been discovered. Now, in this direction, the fields are perhaps wider and deeper than ever. This book is devoted to the study of hyponormal and semi-hyponormal operators. The main results we shall present are those of the author and his collaborators and colleagues, as well as some concerning related topics. To some extent, hyponormal and s...
This work is the result of more than a decade of research on the Chinese household and lineage in the southeastern province of Fujian during the Ming and Qing period (1368-1911). It offers new interpretations of the Chinese domestic cycle, the relationship between household and larger kinship groups, and the development of lineage society in south China. Using hundreds of previously unknown lineage genealogies, stone inscriptions, and land deeds, Zheng Zhenman provides a candid view of how individuals and families confronted the crucial issues of daily life: how to minimize taxes or military conscription; how to balance the ideological imperatives of ancestor worship with practical concerns;...
China is emerging as a new superpower in science and technology, reflected in the success of its spacecraft and high-velocity Maglev trains. While many seek to understand the rise of China as a technologically-based power, the Cultural Revolution of the 1960s may seem an unlikely era to explore for these insights. Despite the widespread verdict of the Great Proletarian Cultural Revolution as an unmitigated disaster for China, a number of recent scholars have called for re-examining Maoist science--both in China and in the West. At one time Western observers found much to admire in Chairman Mao's mass science, his egalitarian effort to take science out of the ivory tower and place it in the h...
This is the 1st China's Science Yearbook published since 1949. It covers events, activities and progresses in various fields of science and technology from 1949 to 1979. Published in conjunction with Shanghai Scientific Publishing Co., it was compiled and edited by a research team from 'Nature Magazine', Shanghai, People's Republic of China.