Cobos Díaz, Fernando and Martinez, Antón (1999) Extreme estimates for interpolated operators by the real method. Journal of the London Mathematical Society. Second Series, 60 (3). pp. 860-870. ISSN 0024-6107
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Abstract
The paper establishes estimates for ideal measures of operators interpolated by the real method in terms of the measures of their restrictions to a sequence of spaces modelled on the intersection. It also shows that the estimates are optimal.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Weakly Compact-Operators |
| Subjects: | Sciences > Mathematics > Numerical analysis |
| ID Code: | 15230 |
| References: | A. G. Aksoy and L. Maligranda, `Real interpolation and measure of weak noncompactness', Math. Nachr. 175 (1995)5±12. K. Astala, `On measures of non-compactness and ideal variations in Banach spaces', Ann. Acad. Sci.Fenn. Math. Diss. 29 (1980) 1±42. K. Astala and H.-O. Tylli, `Seminorms related to weak compactness and to Tauberian operators', Math. Proc. Cambridge Philos. Soc. 107 (1990) 367±375. B. Beauzamy, Espaces d'interpolation reUels : topologie et geUomeUtrie, Lecture Notes in Mathematics 666 (Springer, 1978). J. Bergh and J. Lo$ fstro$m, Interpolation spaces. An introduction (Springer, 1976). F. Cobos, T.Ku$ hn and T. Schonbek, `One-sided compactness results for Aronszajn-Gagliardo functors', J. Funct. Anal. 106 (1992) 274±313. F. Cobos, A.Manzano and A. Marti!nez, `Interpolation theory and measures related to operator ideals ', Quart. J. Math., to appear. F. Cobos and A. Marti!nez, `Remarks on interpolation properties of the measure of weak noncompactness and ideal variations ', Math. Nachr., to appear. M. Cwikel, `Real and complex interpolation and extrapolation of compact operators', Duke Math. J. 65 (1992) 333±343. F. S. De Blasi, `On a property of the unit sphere in a Banach space', Bull. Math. Soc. Sci. Math. R. S. Roumanie 21 (1977) 259±262. D. J. H. Garling and S. J. Montgomery Smith,`Complemented sub-spaces of spaces obtained by interpolation', J. London Math. Soc. (2) 44 (1991) 503±513. M. Gonza!lez, E. Saksman and H.-O. Tylli, `Representing non-weakly compact operators', Studia Math. 113 (1995) 265±282. S. Heinrich, `Closed operator ideals and interpolation', J. Funct. Anal. 35 (1980) 397±411. H.Jarchow, Locally conŠex spaces (Teubner, Stuttgart, 1981). L. Maligranda and A. Quevedo, `Interpolation of weakly compact operators', Arch. Math. 55 (1990) 280±284. M. Mastylo, `On interpolation of weakly compact operators', Hokkaido Math. J. 22 (1993) 105±114. A. Pietsch, Operator ideals (North-Holland, Amsterdam, 1980). H. Triebel, Interpolation theory, function spaces, differential operators (North-Holland, Amsterdam, 1978). H.-O. Tylli, `The essential norm of an operator is not self-dual ', Israel J. Math. 91 (1995) 93±110. |
| Deposited On: | 17 May 2012 11:17 |
| Last Modified: | 17 May 2012 11:17 |
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