Functional analysis

Spectral set

In operator theory, a set is said to be a spectral set for a (possibly unbounded) linear operator on a Banach space if the spectrum of is in and von-Neumann's inequality holds for on - i.e. for all rational functions with no poles on This concept is related to the topic of analytic functional calculusof operators. In general, one wants to get more details about the operators constructed from functions with the original operator as the variable. For a detailed discussion between Spectral Sets and von Neumann's inequality, see. (Wikipedia).

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Spectral Sequences 02: Spectral Sequence of a Filtered Complex

I like Ivan Mirovic's Course notes. http://people.math.umass.edu/~mirkovic/A.COURSE.notes/3.HomologicalAlgebra/HA/2.Spring06/C.pdf Also, Ravi Vakil's Foundations of Algebraic Geometry and the Stacks Project do this well as well.

From playlist Spectral Sequences

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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Determine Sets Given Using Set Notation (Ex 2)

This video provides examples to describing a set given the set notation of a set.

From playlist Sets (Discrete Math)

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Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

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Introduction to Set Theory

This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/

From playlist Sets

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Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Lists)

This video explains how to determine a set with greatest cardinality that is a subset of two given sets.

From playlist Sets (Discrete Math)

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Introduction to Set Theory (Discrete Mathematics)

Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************

From playlist Set Theory

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What is a Set Complement?

What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go

From playlist Set Theory

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The Spectral Diameter of a Liouville Domains and its Applications - Pierre-Alexandre Mailhot

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: The Spectral Diameter of a Liouville Domains and its Applications Speaker: Pierre-Alexandre Mailhot Affiliation: Université de Montréal Date: October 28, 2022 The spectral norm provides a lower bound to the

From playlist Mathematics

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symplectic topology - Lev Buhovsky

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: The Arnold conjecture, spectral invariants and C^0 symplectic topology Speaker: Lev Buhovsky Affiliation: Tel Aviv University Date: October 9, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Unlinked fixed points of Hamiltonian...spectral invariants - Sobhan Seyfaddini

Sobhan Seyfaddini Massachusetts Institute of Technology April 17, 2015 Hamiltonian spectral invariants have had many interesting and important applications in symplectic geometry. Inspired by Le Calvez's theory of transverse foliations for dynamical systems of surfaces, we introduce a new

From playlist Mathematics

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Super-Approximation and Its Applications - Alireza Salehi Golsefidy

Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu

From playlist Analysis and Beyond

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Barcodes and C0 symplectic topology - Sobhan Seyfaddini

Symplectic Dynamics/Geometry Seminar Topic: Barcodes and C0 symplectic topology Speaker: Sobhan Seyfaddini Affiliation: ENS Paris Date: December 17, 2018 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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Spectra in locally symmetric spaces by Alan Reid

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

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Jean Bourgain - 1/2 The orbital circle method and applications...

Jean Bourgain - The orbital circle method and applications / Toral eigenfuctions and their nodal sets

From playlist École d'été 2014 - Théorie analytique des nombres

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Eighth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, December 2, 10:00am EDT Speaker: Martin Burger, FAU Title: Nonlinear spectral decompositions in imaging and inverse problems Abstract: This talk will describe the development of a variational theory generalizing classical spectral decompositions in linear filters and si

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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Sven Bachmann: A classification of gapped Hamiltonians in d=1

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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Power Set of the Power Set of the Power Set of the Empty Set | Set Theory

The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p

From playlist Set Theory

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Catherine Sulem: Soliton Resolution for Derivative NLS equation

Abstract: We consider the Derivative Nonlinear Schrödinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral singularities). We prove global wellposedness and give a full description of the long-time behavior of the s

From playlist Women at CIRM

Related pages

Von Neumann's inequality | Operator theory