Surjective isometries on Grassmann spaces

Fernanda Botelho, James Jamison, L. Molnár

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Let H be a complex Hilbert space, n a given positive integer and let Pn(H) be the set of all projections on H with rank n. Under the condition dimH≥4n, we describe the surjective isometries of Pn(H) with respect to the gap metric (the metric induced by the operator norm).

Original languageEnglish
Pages (from-to)2226-2238
Number of pages13
JournalJournal of Functional Analysis
Volume265
Issue number10
DOIs
Publication statusPublished - Nov 15 2013

Fingerprint

Gap Metric
Operator Norm
Isometry
Hilbert space
Projection
Metric
Integer

Keywords

  • Gap metric
  • Grassmann space
  • Hilbert space projections
  • Surjective isometry

ASJC Scopus subject areas

  • Analysis

Cite this

Surjective isometries on Grassmann spaces. / Botelho, Fernanda; Jamison, James; Molnár, L.

In: Journal of Functional Analysis, Vol. 265, No. 10, 15.11.2013, p. 2226-2238.

Research output: Contribution to journalArticle

Botelho, Fernanda ; Jamison, James ; Molnár, L. / Surjective isometries on Grassmann spaces. In: Journal of Functional Analysis. 2013 ; Vol. 265, No. 10. pp. 2226-2238.
@article{e6506bf961254fb7b0c7269d449d80e8,
title = "Surjective isometries on Grassmann spaces",
abstract = "Let H be a complex Hilbert space, n a given positive integer and let Pn(H) be the set of all projections on H with rank n. Under the condition dimH≥4n, we describe the surjective isometries of Pn(H) with respect to the gap metric (the metric induced by the operator norm).",
keywords = "Gap metric, Grassmann space, Hilbert space projections, Surjective isometry",
author = "Fernanda Botelho and James Jamison and L. Moln{\'a}r",
year = "2013",
month = "11",
day = "15",
doi = "10.1016/j.jfa.2013.07.017",
language = "English",
volume = "265",
pages = "2226--2238",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "10",

}

TY - JOUR

T1 - Surjective isometries on Grassmann spaces

AU - Botelho, Fernanda

AU - Jamison, James

AU - Molnár, L.

PY - 2013/11/15

Y1 - 2013/11/15

N2 - Let H be a complex Hilbert space, n a given positive integer and let Pn(H) be the set of all projections on H with rank n. Under the condition dimH≥4n, we describe the surjective isometries of Pn(H) with respect to the gap metric (the metric induced by the operator norm).

AB - Let H be a complex Hilbert space, n a given positive integer and let Pn(H) be the set of all projections on H with rank n. Under the condition dimH≥4n, we describe the surjective isometries of Pn(H) with respect to the gap metric (the metric induced by the operator norm).

KW - Gap metric

KW - Grassmann space

KW - Hilbert space projections

KW - Surjective isometry

UR - http://www.scopus.com/inward/record.url?scp=84882720420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84882720420&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2013.07.017

DO - 10.1016/j.jfa.2013.07.017

M3 - Article

AN - SCOPUS:84882720420

VL - 265

SP - 2226

EP - 2238

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 10

ER -