Unconditional Orthonormal Systems

Martin Defant, Marius Junge

Research output: Contribution to journalArticle

Abstract

We show that a Banach space X is isomorphic to a Hilbert space if and only if the trigonometric system is unconditional in L2 (II, X). If the unconditionally constant is equal to one then X is even isometric to a Hilbert space.

Original languageEnglish (US)
Pages (from-to)233-240
Number of pages8
JournalMathematische Nachrichten
Volume158
Issue number1
DOIs
StatePublished - 1992

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Orthonormal System
Hilbert space
Isometric
Isomorphic
Banach space
If and only if

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Unconditional Orthonormal Systems. / Defant, Martin; Junge, Marius.

In: Mathematische Nachrichten, Vol. 158, No. 1, 1992, p. 233-240.

Research output: Contribution to journalArticle

Defant, Martin ; Junge, Marius. / Unconditional Orthonormal Systems. In: Mathematische Nachrichten. 1992 ; Vol. 158, No. 1. pp. 233-240.
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