A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem Dirk Werner S. Kakutani, in [2] and [3], provides a proof of the Hahn-Banach theorem

Source URL: page.mi.fu-berlin.de

• Fixed-point theorems
• MarkovKakutani fixed-point theorem
• HahnBanach theorem
• Kakutani fixed-point theorem
• Locally convex topological vector space
• Convex set
• Schauder fixed point theorem
• Fixed-point theorems in infinite-dimensional spaces

DECOMPOSITIONS, APPROXIMATE STRUCTURE, TRANSFERENCE, AND THE HAHN-BANACH THEOREM arXiv:0811.3103v1 [math.CO] 19 NovW.T. GOWERS

Source URL: arxiv.org

ANALYSIS ON GROUPS: THE HAHN-BANACH THEOREM(S) A topological vector space is by denition a vector space E with a (Hausdor) topology S such that the vector space operations are continuous: that is, the maps E × E → E

Source URL: egg.epfl.ch

• Functional analysis
• Linear algebra
• Operator theory
• Topological vector spaces
• Hahn–Banach theorem
• Banach spaces
• Normed vector space
• Vector space
• Locally convex topological vector space
• Algebra
• Mathematical analysis
• Mathematics

Compact operators on Banach spaces Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

Source URL: individual.utoronto.ca

• Operator theory
• Functional analysis
• Spectral theory
• Linear algebra
• Compact operator
• Spectrum
• Hahn–Banach theorem
• Open mapping theorem
• Banach algebra
• Mathematics
• Mathematical analysis
• Topology

The weak topology of locally convex spaces and the weak-* topology of their duals Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

Source URL: individual.utoronto.ca

• Functional analysis
• Banach–Alaoglu theorem
• Locally convex topological vector space
• Weak topology
• Topological vector space
• Reflexive space
• Hahn–Banach theorem
• Uniform boundedness principle
• Bounded set
• Mathematical analysis
• Mathematics
• Topology

pozn/clanky/jerisonreferat.tex October 4, 2011 http://thales.doa.fmph.uniba.sk/sleziak/papers/semtrf.html Meyer Jerison: The set of all generalized limits of bounded sequences

Source URL: thales.doa.fmph.uniba.sk

• General topology
• Functional analysis
• Hahn–Banach theorem
• Stone–Čech compactification
• Banach–Alaoglu theorem
• Banach space
• Filter
• Topological vector space
• Locally convex topological vector space
• Topology
• Mathematics
• Mathematical analysis

Steinitz’s theorem Pecherskii’s Theorem References Pecherskii’s Theorem

Source URL: thales.doa.fmph.uniba.sk

• Hahn–Banach theorem
• Functional analysis
• Mathematics
• Analysis

Preliminaries Banach limits Main result Meyer Jerison: The set of all generalized limits of bounded sequences

Source URL: thales.doa.fmph.uniba.sk

• Functional analysis
• General topology
• Banach–Alaoglu theorem
• Stone–Čech compactification
• Banach space
• Hahn–Banach theorem
• Ultrafilter
• Leonidas Alaoglu
• Krein–Milman theorem
• Topology
• Mathematics
• Mathematical analysis

In IEEE International Symposium on Adaptive Dynamic Programming and Reinforcement Learning, [removed]Bounds of Optimal Learning Roman V. Belavkin Abstract—Learning is considered as a dynamic process described by a trajec

Source URL: www.eis.mdx.ac.uk

• Functional analysis
• Hahn–Banach theorem
• Vector space
• Convex function
• Distribution
• Mutual information
• Lp space
• Dual space
• Calculus of variations
• Mathematical analysis
• Mathematics
• Algebra

Chapter 6 Lp Spaces Lp spaces are the most interesting examples of Banach spaces and play a salient role in modern analysis. In this chapter basic features of Lp spaces are studied; in particular, their dual spaces are

Source URL: www.math.sinica.edu.tw

• Sigma-algebra
• Radon–Nikodym theorem
• Hahn decomposition theorem
• Probability space
• Support
• Σ-finite measure
• Lp space
• Borel set
• Independence
• Mathematical analysis
• Probability theory
• Measure theory