Metric compactification of Banach spaces

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isbn9789526088112.pdf (416.15 KB)
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Volume Title
School of Science | Doctoral thesis (article-based) | Defence date: 2019-11-22
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Author
Date
2019
Department
Matematiikan ja systeemianalyysin laitos
Department of Mathematics and Systems Analysis
Major/Subject
Mcode
Degree programme
Language
en
Pages
47 + app. 57
Series
Aalto University publication series DOCTORAL DISSERTATIONS, 207/2019
Abstract
The abstract is available in the PDF file of the dissertation.
Description
Supervising professor
KytƶlƤ, Kalle, Prof., Aalto University, Department of Mathematics and Systems Analysis, Finland
Thesis advisor
Karlsson, Anders, Prof., University of Geneva, Switzerland
Nevanlinna, Olavi, Prof. Emeritus, Aalto University, Department of Mathematics and Systems Analysis, Finland
Keywords
metric compactification, metric functional, horofunction, Busemann function, isometry, semicontraction, metric geometry, Banach space
Other note
Parts
  • [Publication 1]: Armando W. GutiĆ©rrez. The horofunction boundary of finite-dimensional l_p spaces. Colloquium Mathematicum, 2018, vol. 155, iss. 1, pp. 51ā€“65,
    DOI: 10.4064/cm7320-3-2018 View at publisher
  • [Publication 2]: Armando W. GutiĆ©rrez. On the metric compactification of infinite-dimensional l_p spaces. Canadian Mathematical Bulletin, 2018, volume 62, issue 3, pp. 491ā€“507,
    DOI: 10.4153/S0008439518000681 View at publisher
  • [Publication 3]: Armando W. GutiĆ©rrez. Characterizing the metric compactification of Lp spaces by random measures. Annals of Functional Analysis, accepted for publication.
Citation
Permanent link to this item
https://urn.fi/URN:ISBN:978-952-60-8811-2
Collections
[diss] Perustieteiden korkeakoulu / SCI