Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. It has also been used to give in sights into new developments in the spectral theory of linear operators. Various concepts from function theory and complex analytic geometry are drawn together and used to give a new approach to concrete spectral computations. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas which should stimulate further research.
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J. Eschmeier is at University of Leeds. M. Putinar is at University of California at Riverside.
`The book presents an up to date picture.'
Zentrallblat fur Mathematik, 1997
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Hardcover. Condition: new. Hardcover. Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. It has also been used to give in sights into new developments in the spectral theory oflinear operators. Various concepts from function theory and complex analytic geometry are drawn together and used to give a new approach to concrete spectral computations. The advantages of thisapproach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas which should stimulate further research. This monograph uses the language of homological algebra and sheaf theory to describe both classical results and recent developments in the spectral theory of linear operators. It contains a variety of illustrative examples, unexpected applications, and ideas to stimulate further research. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198536673
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Hardcover. Condition: new. Hardcover. Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. It has also been used to give in sights into new developments in the spectral theory oflinear operators. Various concepts from function theory and complex analytic geometry are drawn together and used to give a new approach to concrete spectral computations. The advantages of thisapproach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas which should stimulate further research. This monograph uses the language of homological algebra and sheaf theory to describe both classical results and recent developments in the spectral theory of linear operators. It contains a variety of illustrative examples, unexpected applications, and ideas to stimulate further research. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198536673
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