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Functional Analysis [2013]
- 1
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Distance
- 1
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Victor Shulman: The Gentle Art of Mathematics
- 1
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Normed Spaces
- 2
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Operators Splitting the Arveson Spectrum
- 2
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The Integral
- 2
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Convex sets and functions
- 3
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Singly Generated Operator Algebras Satisfying Weakened Versions of Amenability
- 3
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Weak topologies
- 3
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Norms
- 4
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Operator Algebras and C<sup>*</sup>-correspondences: A Survey
- 4
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Convex analysis
- 4
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Lebesgue Spaces
- 5
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Banach spaces
- 5
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Some Operator Algebras from Semigroups
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Duality
- 6
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Lifting Algebraic Contractions in C*-algebras
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Lebesgue spaces
- 6
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Sobolev Spaces
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The Second Local Multiplier Algebra of a Separable <italic>C</italic>*-algebra
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Hilbert spaces
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Capacity
- 8
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Test-space Characterizations of Some Classes of Banach Spaces
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Additional exercises for Part I
- 8
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Elliptic Problems
- 9
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Splittings of Masa-bimodules
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Optimization and multipliers
- 9
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Appendix: Topics in Calculus
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Noncommutative Analogues of Stein Spaces of Finite Embedding Dimension
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Epilogue: Historical Notes on Functional Analysis
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Generalized gradients
- 11
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Idempotent States on Locally Compact Groups and Quantum Groups
- 11
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Proximal analysis
- 12
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Topological Radicals, V. From Algebra to Spectral Theory
- 12
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Invariance and monotonicity
- 13
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Additional exercises for Part II
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A Brief Survey on
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The classical theory
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Nonsmooth extremals
- 16
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Absolutely continuous solutions
- 17
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The multiplier rule
- 18
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Nonsmooth Lagrangians
- 19
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Hamilton-Jacobi methods
- 20
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Multiple integrals
- 21
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Additional exercises for Part III
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Necessary conditions
- 23
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Existence and regularity
- 24
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Inductive methods
- 25
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Differential inclusions
- 26
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Additional exercises for Part IV