FUNCTIONAL ANALYSIS - People
These are notes for the lecture course \Functional Analysis I" held by the second author at ETH Zuric h in the fall semester 2015. Prerequisites are the rst year courses on Analysis and Linear Algebra, and the second year courses on Complex Analysis, Topology, and …
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INTRODUCTION TO DIFFERENTIAL GEOMETRY
people.math.ethz.chOne can distinguish extrinsic di erential geometry and intrinsic di er-ential geometry. The former restricts attention to submanifolds of Euclidean space while the latter studies manifolds equipped with a Riemannian metric. The extrinsic theory is more accessible because we …
FUNCTIONAL ANALYSIS - ETH Z
people.math.ethz.ch§5.3. Operators on Hilbert Spaces 222 §5.4. Functional Calculus for Self-Adjoint Operators 234 §5.5. Gelfand Spectrum and Normal Operators 246 §5.6. Spectral Measures 261 §5.7. Cyclic Vectors 281 §5.8. Problems 288 Chapter 6. Unbounded Operators 295 §6.1. Unbounded Operators on Banach Spaces 295 §6.2. The Dual of an Unbounded Operator ...
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INTRODUCTION TO DIFFERENTIAL TOPOLOGY
people.math.ethz.chINTRODUCTION TO DIFFERENTIAL TOPOLOGY Joel W. Robbin UW Madison Dietmar A. Salamon ETH Zuric h 14 August 2018. ii. ... is the foundational chapter about smooth manifolds in [21] as well as some basic results about geodesics and the exponential map. For the bene t of the reader we summarize some of the relevant background material in the rst ...
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