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FUNCTIONAL ANALYSIS - People

FUNCTIONAL ANALYSISTheo B uhlerETH Z urichDietmar A. SalamonETH Z urich8 June 2017iiPrefaceThese are notes for the lecture course FUNCTIONAL ANALYSIS I held by thesecond author at ETH Z urich in the fall semester 2015. Prerequisites arethe first year courses onAnalysisandLinear Algebra, and the second yearcourses onComplex ANALYSIS ,Topology, andMeasure and material of Subsection on elementary Hilbert space theory, Sub-section on the Stone Weierstra theorem , and the appendices on theLemma of Zorn and Tychonoff s theorem has not been covered in the lec-tures.

open set. It closes with a proof of the Baire category theorem. Chapter 2 is devoted to the three fundamental principles of functional analysis. They are the Uniform Boundedness Principle (a pointwise bounded family of bounded linear operators on a Banach space is bounded), the Open Mapping Theorem (a surjective bounded linear operator between ...

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closes with a proof of the Baire category theorem. Chapter 2 is devoted to the three fundamental principles of functional analysis. They are the Uniform Boundedness Principle (a pointwise bounded family of bounded linear operators on a Banach space is bounded), the Open Mapping Theorem (a surjective bounded linear operator between Banach

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