Factorization theorem for -summing operators
Czechoslovak Mathematical Journal (2011)
- Volume: 61, Issue: 3, page 785-793
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topFerrando, Irene. "Factorization theorem for $1$-summing operators." Czechoslovak Mathematical Journal 61.3 (2011): 785-793. <http://eudml.org/doc/196988>.
@article{Ferrando2011,
abstract = {We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for $1$-summing operators between Banach spaces.},
author = {Ferrando, Irene},
journal = {Czechoslovak Mathematical Journal},
keywords = {vector measures; integrable functions; sequences on Banach spaces; summing operators; vector measure; integrable function; sequence on Banach space; summing operator},
language = {eng},
number = {3},
pages = {785-793},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Factorization theorem for $1$-summing operators},
url = {http://eudml.org/doc/196988},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Ferrando, Irene
TI - Factorization theorem for $1$-summing operators
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 3
SP - 785
EP - 793
AB - We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for $1$-summing operators between Banach spaces.
LA - eng
KW - vector measures; integrable functions; sequences on Banach spaces; summing operators; vector measure; integrable function; sequence on Banach space; summing operator
UR - http://eudml.org/doc/196988
ER -
References
top- Bartle, R. G., Dunford, N., Schwartz, J., 10.4153/CJM-1955-032-1, Canad. J. Math. 7 (1955), 289-305. (1955) Zbl0068.09301MR0070050DOI10.4153/CJM-1955-032-1
- Blasco, O., Calabuig, J. M., Signes, T., 10.1016/j.jmaa.2008.07.013, J. Math. Anal. Appl. 348 (2008), 150-164. (2008) Zbl1161.46005MR2449334DOI10.1016/j.jmaa.2008.07.013
- Calabuig, J. M., Integración bilineal, Tesis doctoral (2004). (2004)
- Curbera, G. P., 10.1007/BF01444717, Math. Ann. 293 (1992), 317-330. (1992) MR1166123DOI10.1007/BF01444717
- Diestel, J., Jr., J. J. Uhl, Vector Measures, Amer. Math. Soc. Surveys 15, Providence, R.I. (1977). (1977) Zbl0369.46039MR0453964
- Diestel, J., Jarchow, H., Tonge, A., Absolutely Summing Operators, Cambridge Studies in Advanced Mathematics, Cambridge (1995). (1995) Zbl0855.47016MR1342297
- Ferrando, I., Rodríguez, J., The weak topology on of a vector measure, Topology and its Applications 55 (2008), 1439-1444. (2008) MR2427417
- Lewis, D. R., 10.2140/pjm.1970.33.157, Pacific J. Math. 33 (1970), 157-165. (1970) Zbl0195.14303MR0259064DOI10.2140/pjm.1970.33.157
- Okada, S., Ricker, W., Sánchez-Pérez, E. A., Optimal Domain and Integral Extension of Operators Acting in Function Spaces, Operator Theory: Advances and Applications, Vol. 180, Birkhäuser (2008). (2008) MR2418751
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.