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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. These topics were assumed to have been covered in previous lecturecourses.

functional calculus for bounded normal operators, Chapter 6 on unbounded linear operators, Subsection 7.3.2 on Banach space valued Lpfunctions, Sub-section 7.3.4 on self-adjoint and unitary semigroups, and Section 7.4 on an-alytic semigroups was not part of the lecture course (with the exception of

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