<p>The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian. In the non-cb case the dilation space often needs to be a Banach space. They give applications to both the discrete and the continuous frame theory. There are natural associations between the theory of frames (including continuous frames and framings), the theory of operator-valued measures on sigma-algebras of sets, and the theory of continuous linear maps between C ∗ -algebras. In this connection frame theory itself is identified with the special case in which the domain algebra for the maps is an abelian von Neumann algebra and the map is normal (i.e. ultraweakly, or σ weakly, or w*) continuous.</p>

Operator-Valued Measures, Dilations, and the Theory of Frames (Memoirs of the American Mathematical Society)

Science & Math

Larson, David R.

Han, Deguang

Liu, Bei

Liu, Rui

Mathematics

Amer Mathematical Society

Archaeological Discovery and Research on Caoqu. Institute of Archaeology. Chinese Academy of Social Sciences. Xi'an Institute of Cultural Relics Protection and Archaeology(Chinese Edition)

Science Press

car use and technical management (vehicle inspection and maintenance of the automobile to use technology. Automobile Application Engineering professional with)(Chinese Edition)

Engineering & Transportation

Engineering

people traffic Pub. Date :2001-09-01

Animal Kingdom articles - Fun rhymes to study painting(Chinese Edition)

China Population

<p>China is a powerful engine of the global economy and the country's rise is undoubtedly the outcome of its protracted campaign of designing and implementing national development strategies since the founding of the People's Republic of China in 1949. This book reviews the transformation and innovation of China's economic development strategies, especially Deng Xiaoping's Three-Step strategy and Xi Jinping's internal and external strategies. By introducing the concept of strategic paradigm, it analyzes the theoretical basis of myriads of economic development strategies and predicts China's choice. With the evolutionary process and the outstanding problems in national development planning as the main thread, it discusses the improvement of the national planning system, specifically of the national overall planning system, the regional planning system, the interplay and conflict between regional planning. It also studies the reform of city-county planning system, major function-oriented zones (MFOZs) and planning legislation and institutionalization. It also attempts to put forward proposals to coordinate the interests of planning departments and make different types of planning at different administrative levels compatible.</p>

China's Economic Development Strategies: Transformation and Innovation (Chinese Economics Research)

Business & Money

Economics

World Scientific Publishing Company

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