| Title:
|
Some remarks on the interpolation spaces $A^\theta, A_\theta$ (English) |
| Author:
|
Daher, Mohammad |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2016 |
| Pages:
|
301-315 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(A_0, A_1)$ be a regular interpolation couple. Under several different assumptions on a fixed $A^{\beta}$, we show that $A^{\theta} = A_{\theta}$ for every $\theta \in (0, 1)$. We also deal with assumptions on $\overline{A}^{\beta}$, the closure of $A^{\beta}$ in the dual of $(A_0^*, A_1^*)_\beta$. (English) |
| Keyword:
|
interpolation |
| MSC:
|
46B70 |
| idZBL:
|
Zbl 06674881 |
| idMR:
|
MR3554511 |
| DOI:
|
10.14712/1213-7243.2015.173 |
| . |
| Date available:
|
2016-09-22T15:22:31Z |
| Last updated:
|
2018-10-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145835 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[B] Bergh J.: On the relation between the two complex methods of interpolation.Indiana Univ. Math. J. 28 (1979), 775–777. Zbl 0394.41004, MR 0542336, 10.1512/iumj.1979.28.28054 |
| Reference:
|
[Da1] Daher M.: Une remarque sur l'espace $A^\theta$.C.R.Acad. Sci. Paris Ser. I Math. 322 (1996), no. 7, 641–644. MR 1386467 |
| Reference:
|
[Da2] Daher M.: Une remarque sur les espaces d'interpolation $A^\theta$ qui sont LUR.Colloq. Math. 123 (2011), no. 2, 197–204. MR 2811171, 10.4064/cm123-2-3 |
| Reference:
|
[Da3] Daher M.: Une remarque sur les espaces d'interpolation faiblement localement uniformément convexes.arXiv:1206.4848. |
| Reference:
|
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| Reference:
|
[E] Edgar G.A.: Measurability in a Banach space.Indiana Univ. Math. J. 26 (1977), no. 4, 663–677. Zbl 0418.46034, MR 0487448, 10.1512/iumj.1977.26.26053 |
| Reference:
|
[FHHMZ] Fabian M., Habala P., Hajek P., Montesinos V., Zizler V.: Banach Space Theory.CMS Books in Mathematics, Springer, New York, 2011. Zbl 1321.00042, MR 2766381 |
| Reference:
|
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| . |
