Duality theories | Banach spaces

Semi-reflexive space

In the area of mathematics known as functional analysis, a semi-reflexive space is a locally convex topological vector space (TVS) X such that the canonical evaluation map from X into its bidual (which is the strong dual of the strong dual of X) is bijective. If this map is also an isomorphism of TVSs then it is called reflexive. Semi-reflexive spaces play an important role in the general theory of locally convex TVSs. Since a normable TVS is semi-reflexive if and only if it is reflexive, the concept of semi-reflexivity is primarily used with TVSs that are not normable. (Wikipedia).

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Dual Space

Dual spaces and linear functionals In this video, I introduce the concept of a dual space, which is the analog of a "shadow world" version, but for vector spaces. I also give some examples of linear and non-linear functionals. This seems like an innocent topic, but it has a huge number of

From playlist Dual Spaces

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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Metric spaces -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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Semi-coarse Spaces, Homotopy [Jonathan Treviño-Marroquín]

Semi-coarse spaces is an alternative to study (undirected) graphs through large-scale geometry. In this video, we present the structure and a homotopy what we worked on. In the final part, we look at the fundamental homotopy group of cyclic graphs.

From playlist Contributed Videos

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What is (a) Space? From Zero to Geo 1.5

What is space? In this video, we learn about the many different things that we might call "space". We come up with both a geometric and an algebraic definition, and the discussion also leads us to the important concept of subspaces. Sorry for how long this video took to make! I mention

From playlist From Zero to Geo

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IGA: Singularities of Hermitian Yang Mills Connections

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From playlist Informal Geometric Analysis Seminar

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Antonio Rieser (03/29/23) Algebraic Topology for Graphs & Mesoscopic Spaces: Homotopy & Sheaf Theory

Title: Algebraic Topology for Graphs and Mesoscopic Spaces: Homotopy and Sheaf Theory Abstract: In this talk, we introduce the notion of a mesoscopic space: a metric space decorated with a privileged scale, and we survey recent developments in the algebraic topology of such spaces. Our ap

From playlist AATRN 2023

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A. Höring - A decomposition theorem for singular spaces with trivial canonical class (Part 3)

The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the deve

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Simplicial Types - Peter Lumsdaine

Peter Lumsdaine Dalhousie University; Member, School of Mathematics January 16, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Stefan Kebekus: Nonabelian Hodge correspondences for klt varieties and quasi-etale uniformisation

Abstract: Simpson’s classic nonabelian Hodge correspondence establishes an equivalence of categories between local systems on a projective manifold, and certain Higgs sheaves on that manifold. This talk surveys recent generalisations of Simpson’s correspondence to the context of projective

From playlist Algebraic and Complex Geometry

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Complete metric space: example & proof

This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.

From playlist Mathematical analysis and applications

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Higgs bundles, harmonic maps, and applications by Richard Wentworth

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

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Exploring Moduli: basic constructions and examples (Lecture 1) by Carlos Simpson

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From playlist Infosys-ICTS Ramanujan Lectures

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Lucia Mocz: A new Northcott property for Faltings height

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From playlist Algebraic and Complex Geometry

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Markus Haase : Operators in ergodic theory - Lecture 3 : Compact semigroups and splitting theorems

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From playlist Dynamical Systems and Ordinary Differential Equations

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Covariant Phase Space with Boundaries - Daniel Harlow

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From playlist Natural Sciences

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Daniel Greb: Structure theory for singular varieties with trivial canonical divisor

Recording during the meeting "Varieties with Trivial Canonical Class " the April 09, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Math

From playlist Virtual Conference

Related pages

Reflexive space | Hahn–Banach theorem | Mackey topology | Banach space | Barrelled space | Complex number | Functional analysis | Grothendieck space | Reflexive operator algebra | Quasibarrelled space | Montel space | Real number | Isometry | Quasi-complete space | Continuous function | Countably barrelled space | Topological vector space | Distinguished space