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Semi-bounded Differential Operators, Contractive Semigroups and Beyond, Paperback / softback Book

Semi-bounded Differential Operators, Contractive Semigroups and Beyond Paperback / softback

Part of the Operator Theory: Advances and Applications series

Paperback / softback

Description

In the present book the conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways.

Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although their complete characterization in analytic terms causes difficulties even for rather simple operators.

Until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces.

The goal of the present book is to partially fill this gap.

Various types of semi-boundedness are considered and some relevant conditions which are either necessary and sufficient or best possible in a certain sense are given.

Most of the results reported in this book are due to the authors.

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