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Functional Analysis [2013]

1
Distance
1
Victor Shulman: The Gentle Art of Mathematics
1
Normed Spaces
2
Operators Splitting the Arveson Spectrum
2
The Integral
2
Convex sets and functions
3
Singly Generated Operator Algebras Satisfying Weakened Versions of Amenability
3
Weak topologies
3
Norms
4
Operator Algebras and C<sup>*</sup>-correspondences: A Survey
4
Convex analysis
4
Lebesgue Spaces
5
Banach spaces
5
Some Operator Algebras from Semigroups
5
Duality
6
Lifting Algebraic Contractions in C*-algebras
6
Lebesgue spaces
6
Sobolev Spaces
7
The Second Local Multiplier Algebra of a Separable <italic>C</italic>*-algebra
7
Hilbert spaces
7
Capacity
8
Test-space Characterizations of Some Classes of Banach Spaces
8
Additional exercises for Part I
8
Elliptic Problems
9
Splittings of Masa-bimodules
9
Optimization and multipliers
9
Appendix: Topics in Calculus
10
Noncommutative Analogues of Stein Spaces of Finite Embedding Dimension
10
Epilogue: Historical Notes on Functional Analysis
10
Generalized gradients
11
Idempotent States on Locally Compact Groups and Quantum Groups
11
Proximal analysis
12
Topological Radicals, V. From Algebra to Spectral Theory
12
Invariance and monotonicity
13
Additional exercises for Part II
13
A Brief Survey on
14
The classical theory
15
Nonsmooth extremals
16
Absolutely continuous solutions
17
The multiplier rule
18
Nonsmooth Lagrangians
19
Hamilton-Jacobi methods
20
Multiple integrals
21
Additional exercises for Part III
22
Necessary conditions
23
Existence and regularity
24
Inductive methods
25
Differential inclusions
26
Additional exercises for Part IV
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