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Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since publication of this book in 1985, the subject of positive operators and Riesz spaces has found practical applications in disciplines including social sciences and engineering.
Because it is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators, this book examines positive operators in the setting of Riesz spaces and Banach lattices, from both the algebraic and topological points of view. Special emphasis is given to the compactness properties of positive operators and their relations to the order structures of the spaces the operators act upon. In order to make the book as self-sufficient as possible, some basic results from the theory of Riesz spaces and Banach lattices are included with proofs where necessary.
General familiarity with the elementary concepts of real analysis and functional analysis is assumed. The book is divided into five chapters, each consisting of nineteen sections. All sections conclude with exercises designed to supplement and i
Content Level »Research
Keywords »Algebra - Brandonwiskunde - Morphism - Simulation - calculus - function - proof - real analysis
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