# Dominated operators on C[0, 1] and the (CRP).

Collectanea Mathematica (1990)

- Volume: 41, Issue: 1, page 21-25
- ISSN: 0010-0757

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topEmmanuele, G.. "Dominated operators on C[0, 1] and the (CRP).." Collectanea Mathematica 41.1 (1990): 21-25. <http://eudml.org/doc/42222>.

@article{Emmanuele1990,

abstract = {We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).},

author = {Emmanuele, G.},

journal = {Collectanea Mathematica},

keywords = {Espacios de Banach; Operadores compactos; (CRP); dominated operator},

language = {eng},

number = {1},

pages = {21-25},

title = {Dominated operators on C[0, 1] and the (CRP).},

url = {http://eudml.org/doc/42222},

volume = {41},

year = {1990},

}

TY - JOUR

AU - Emmanuele, G.

TI - Dominated operators on C[0, 1] and the (CRP).

JO - Collectanea Mathematica

PY - 1990

VL - 41

IS - 1

SP - 21

EP - 25

AB - We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).

LA - eng

KW - Espacios de Banach; Operadores compactos; (CRP); dominated operator

UR - http://eudml.org/doc/42222

ER -

## Citations in EuDML Documents

top- Giovanni Emmanuele, On complemented copies of ${c}_{0}$ in spaces of operators, II
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- Ioana Ghenciu, Property $\left(\mathrm{\mathbf{w}\mathbf{L}}\right)$ and the reciprocal Dunford-Pettis property in projective tensor products

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