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Interpolation Between Hilbert Spaces

Ameur, Yacin LU (2019) In Trends in Mathematics p.63-115
Abstract

This note comprises a synthesis of certain results in the theory of exact interpolation between Hilbert spaces. In particular, we examine various characterizations of interpolation spaces and their relations to a number of results in operator theory and in function theory.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Calderón pair, Hilbert space, Interpolation, Matrix monotonicity, Pick function
host publication
Trends in Mathematics
series title
Trends in Mathematics
pages
53 pages
publisher
Springer
external identifiers
  • scopus:85066748268
ISSN
2297-0215
2297-024X
DOI
10.1007/978-3-030-14640-5_4
language
English
LU publication?
yes
id
ff116c32-ad8c-4f4f-afed-5cf590cc30b4
date added to LUP
2019-06-19 14:30:58
date last changed
2019-09-27 13:08:14
@inbook{ff116c32-ad8c-4f4f-afed-5cf590cc30b4,
  abstract     = {<p>This note comprises a synthesis of certain results in the theory of exact interpolation between Hilbert spaces. In particular, we examine various characterizations of interpolation spaces and their relations to a number of results in operator theory and in function theory.</p>},
  author       = {Ameur, Yacin},
  issn         = {2297-0215},
  keyword      = {Calderón pair,Hilbert space,Interpolation,Matrix monotonicity,Pick function},
  language     = {eng},
  pages        = {63--115},
  publisher    = {Springer},
  series       = {Trends in Mathematics},
  title        = {Interpolation Between Hilbert Spaces},
  url          = {http://dx.doi.org/10.1007/978-3-030-14640-5_4},
  year         = {2019},
}