The iterated weak hilbert procedure

Martin Defant; Marius Junge

doi:10.1090/S0002-9939-1993-1152274-6

The iterated weak hilbert procedure

Research output: Contribution to journal › Article › peer-review

Abstract

Applying Pisier’s concept of weak properties to weak Hilbert spaces we obtain the so-called weak weak Hilbert spaces. Our main result is that the classes of weak Hilbert spaces and of weak weak Hilbert spaces coincide. On the other hand we show that a generalization for operators does not hold.

Original language	English (US)
Pages (from-to)	645-651
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	117
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1993-1152274-6
State	Published - Mar 1993
Externally published	Yes

Keywords

Weak Hilbert spaces
Weak weak Hilbert spaces

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/S0002-9939-1993-1152274-6

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title = "The iterated weak hilbert procedure",

abstract = "Applying Pisier{\textquoteright}s concept of weak properties to weak Hilbert spaces we obtain the so-called weak weak Hilbert spaces. Our main result is that the classes of weak Hilbert spaces and of weak weak Hilbert spaces coincide. On the other hand we show that a generalization for operators does not hold.",

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author = "Martin Defant and Marius Junge",

year = "1993",

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AU - Defant, Martin

AU - Junge, Marius

PY - 1993/3

Y1 - 1993/3

N2 - Applying Pisier’s concept of weak properties to weak Hilbert spaces we obtain the so-called weak weak Hilbert spaces. Our main result is that the classes of weak Hilbert spaces and of weak weak Hilbert spaces coincide. On the other hand we show that a generalization for operators does not hold.

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KW - Weak weak Hilbert spaces

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DO - 10.1090/S0002-9939-1993-1152274-6

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JF - Proceedings of the American Mathematical Society

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The iterated weak hilbert procedure

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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