Lecture

Essential Operators: Spectrum and Resolvent Set

In course

Excepteur non culpa irure adipisicing adipisicing labore amet aute occaecat nostrud nostrud. Adipisicing dolore ullamco elit esse nulla labore. Proident cillum aute tempor laboris proident dolor ex Lorem aute Lorem adipisicing ullamco.

Description

This lecture covers the adjoint of multiplication operator, the definition of spectrum and resolvent set, the essential range of multiplication operator, the concept of direct sum, closed and closable operators, and the relations of adjoints. It also discusses how non-closed operators have a spectrum covering all complex numbers and the properties of essentially self-adjoint symmetric operators.

Official source

https://mediaspace.epfl.ch/media/0_b6ltni2g

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Logic

Classical logic: First-order logic

Related lectures (52)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.