On vector valued measure spaces of bounded $\Phi $-variation containing copies of $\ell _\infty $

María J. Rivera

On vector valued measure spaces of bounded $Φ$ -variation containing copies of $ℓ_{\infty}$

María J. Rivera

Czechoslovak Mathematical Journal (2001)

Volume: 51, Issue: 1, page 67-72
ISSN: 0011-4642

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Abstract

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Given a Young function

Φ

, we study the existence of copies of

c_{0}

and

ℓ_{\infty}

in

{c a b v}_{Φ} (μ, X)

and in

{c a b s v}_{Φ} (μ, X)

, the countably additive,

μ

-continuous, and

X

-valued measure spaces of bounded

Φ

-variation and bounded

Φ

-semivariation, respectively.

How to cite

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Rivera, María J.. "On vector valued measure spaces of bounded $\Phi $-variation containing copies of $\ell _\infty $." Czechoslovak Mathematical Journal 51.1 (2001): 67-72. <http://eudml.org/doc/30615>.

@article{Rivera2001,
abstract = {Given a Young function $\Phi $, we study the existence of copies of $c_0$ and $\ell _\{\infty \}$ in $\mathop \{\mathrm \{c\}abv\}\nolimits _\{\Phi \} (\mu ,X)$ and in $\mathop \{\mathrm \{c\}absv\}\nolimits _\{\Phi \} (\mu ,X)$, the countably additive, $\mu $-continuous, and $X$-valued measure spaces of bounded $\Phi $-variation and bounded $\Phi $-semivariation, respectively.},
author = {Rivera, María J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Young function; copies of and ; measure spaces},
language = {eng},
number = {1},
pages = {67-72},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On vector valued measure spaces of bounded $\Phi $-variation containing copies of $\ell _\infty $},
url = {http://eudml.org/doc/30615},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Rivera, María J.
TI - On vector valued measure spaces of bounded $\Phi $-variation containing copies of $\ell _\infty $
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 67
EP - 72
AB - Given a Young function $\Phi $, we study the existence of copies of $c_0$ and $\ell _{\infty }$ in $\mathop {\mathrm {c}abv}\nolimits _{\Phi } (\mu ,X)$ and in $\mathop {\mathrm {c}absv}\nolimits _{\Phi } (\mu ,X)$, the countably additive, $\mu $-continuous, and $X$-valued measure spaces of bounded $\Phi $-variation and bounded $\Phi $-semivariation, respectively.
LA - eng
KW - Young function; copies of and ; measure spaces
UR - http://eudml.org/doc/30615
ER -

References

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