Introduction to the Theory of Linear Operators

作者: Alain Joye

DOI: 10.1007/3-540-33922-1_1

关键词: Functional calculusUnbounded operatorCalculusComputer scienceSpectral theoremFourier integral operatorOperator normBounded functionOperator theoryMicrolocal analysis

摘要: The purpose of this first set lectures about Linear Operator Theory is to provide the basics regarding mathematical key features unbounded operators readers that are not familiar with such technical aspects. It a necessity deal if one wishes study Quantum Mechanics since objects appear as soon consider, say, free quantum particle in R. topics covered by these quite basic and can be found numerous classical textbooks, some which listed at end notes. They have been selected order reader minimal background allowing proceed more advanced subjects will treated subsequent lectures, also according their relevance main subject school on Open Systems. Obviously, there no claim originality presented material. assumed theory bounded Banach spaces abstract Theorems Functional Analysis.

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