Infinite dimensional geometric properties of real interpolation spaces

Denka Kutzarova; Lyudmila I. Nikolova; Stanisław Prus

doi:10.1002/mana.19981910111

Infinite dimensional geometric properties of real interpolation spaces

Denka Kutzarova
, Lyudmila I. Nikolova
, Stanisław Prus

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

Abstract

Estimates for the moduli of noncompact convexity of l_p-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (β).

Original language	English (US)
Pages (from-to)	215-228
Number of pages	14
Journal	Mathematische Nachrichten
Volume	191
DOIs	https://doi.org/10.1002/mana.19981910111
State	Published - 1998
Externally published	Yes

Keywords

Interpolation spaces
Nearly uniform convexity

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.19981910111

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title = "Infinite dimensional geometric properties of real interpolation spaces",

abstract = "Estimates for the moduli of noncompact convexity of lp-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (β).",

keywords = "Interpolation spaces, Nearly uniform convexity",

author = "Denka Kutzarova and Nikolova, \{Lyudmila I.\} and Stanis{\l}aw Prus",

year = "1998",

doi = "10.1002/mana.19981910111",

language = "English (US)",

volume = "191",

pages = "215--228",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

publisher = "Wiley-VCH",

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T1 - Infinite dimensional geometric properties of real interpolation spaces

AU - Kutzarova, Denka

AU - Nikolova, Lyudmila I.

AU - Prus, Stanisław

PY - 1998

Y1 - 1998

N2 - Estimates for the moduli of noncompact convexity of lp-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (β).

AB - Estimates for the moduli of noncompact convexity of lp-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (β).

KW - Interpolation spaces

KW - Nearly uniform convexity

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UR - https://www.scopus.com/pages/publications/0040095693#tab=citedBy

U2 - 10.1002/mana.19981910111

DO - 10.1002/mana.19981910111

M3 - Article

AN - SCOPUS:0040095693

SN - 0025-584X

VL - 191

SP - 215

EP - 228

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

Infinite dimensional geometric properties of real interpolation spaces

Abstract

Keywords

ASJC Scopus subject areas

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