Log in :: RSS/Atom Feeds
Pacific Journal of Mathematics

Norming vectors of linear operators between $L_p$ spaces.

Charn-Huen Kan

Source: Pacific J. Math. Volume 150, Number 2 (1991), 309-327.

Primary Subjects: 47B38
Secondary Subjects: 47A05, 47A30, 47D20

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102637670
Zentralblatt MATH identifier: 0746.47011
Mathematical Reviews number (MathSciNet): MR1123445

References

[1] T. Ando, Contractive projections in Lp~spaces, Pacific J. Math., 17 (1966), 391-- 405.
Mathematical Reviews (MathSciNet): MR33:566
Zentralblatt MATH: 0192.23304
[2] S. J. Bernau, Theorems of Korovkin type for Lp-spaces, Pacific J. Math., 53 Q74 11-1Q
Mathematical Reviews (MathSciNet): MR52:14786
[3] S. J. Bernau and H. E. Lacey, The range of a contractive projection on an Lp- space, Pacific J. Math., 53 (1974), 21-41.
Mathematical Reviews (MathSciNet): MR50:10791
Zentralblatt MATH: 0259.46031
[4] J. L. Doob, Stochastic Processes, Wiley, New York, 1953.
Mathematical Reviews (MathSciNet): MR15:445b
[5] C. D. Hardin, Jr., Isometries on subspaces on LP, Indiana Univ. Math. J., 30 (1981), 449-465.
Mathematical Reviews (MathSciNet): MR83i:47041
Zentralblatt MATH: 0432.46026
[6] G. H. Hardy, J. E. Littlewood and G. Plya, Inequalities, 2nd ed.,Cambridge Univ. Press, Cambridge, 1952.
Mathematical Reviews (MathSciNet): MR13:727e
[7] J. Johnson and J. Wolfe, Norm attaining operators, Studia Math., 65 (1979), 7-19.
Mathematical Reviews (MathSciNet): MR81a:47021
Zentralblatt MATH: 0432.47024
[8] C.H.Kan,Ergodicproperties ofLamperti operators, Canad. J. Math., 30(1978), 1206-1214.
Mathematical Reviews (MathSciNet): MR80g:47037
Zentralblatt MATH: 0368.47006
[9] C.H.Kan, On Fong's and Sucheston's mixing property of operators in a Hilbertspace, Acta Sci. Math. (Szeged),41 (1979),317-325.
Mathematical Reviews (MathSciNet): MR81a:47010
Zentralblatt MATH: 0434.47013
[10] C.H.Kan,A class of extreme Lp contractions, p 1, 2, oo, and real 2x2 extreme matrices, Illinois J. Math., 30 (1986),612-635.
Zentralblatt MATH: 0587.47048
[11] C.H.Kan, A family of 2 x 2 extreme matrices and a generalizationofClarkson's inequalities, Linear and Multilinear Algebra, 21 (1987), 191-199.
Mathematical Reviews (MathSciNet): MR89a:15024
Zentralblatt MATH: 0636.15011
[12] M. Koskela, A characterization of non-negative matrix operators on lp to lq with oo > p > q > 1, Pacific J. Math., 75 (1978), 165-169.
Mathematical Reviews (MathSciNet): MR80c:40001
Zentralblatt MATH: 0374.47014
[13] M. Koskela, On norms and maximal vectors of linear operators in Minkowski spaces, Acta Univ. Oulu. Ser. A No.61/Math. no. 14 (1978),9-41.
Mathematical Reviews (MathSciNet): MR80d:47028
Zentralblatt MATH: 0383.15020
[14] H. E. Lacey, The isometric theory of classical Banach spaces, Die Grundlehren der mathematischen Wissenschaften, Band 208, Springer-Verlag, New York, 1974.
Mathematical Reviews (MathSciNet): MR58:12308
Zentralblatt MATH: 0285.46024
[15] W. Lusky, Some consequences ofRudin 'spaper "Lp-isometries andequimeasur- abilit\ Indiana Univ. Math. J., 27 (1978),859-866.
Mathematical Reviews (MathSciNet): MR81h:46028
[16] D.Maharam, Therepresentation of abstract integrals, Trans. Amer. Math. Soc, 75(1953), 154-184.
Mathematical Reviews (MathSciNet): MR14:1071g
Zentralblatt MATH: 0051.29203
[17] M.Riesz,Sur les maxima desformes bilinaires et sur lesfonctionnelles lneaires, Acta Math., 49 (1926),465-497.
[18] H. P. Rosenthal, On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operatorsfrom LP{) to Lr{v), J. Funct. Anal., 4 (1969), 176-214.
Mathematical Reviews (MathSciNet): MR40:3277
Zentralblatt MATH: 0185.20303
[19] W. Rudin, LP isometries and equimeasurability, Indiana Univ. Math. J., 25 (1976), 215-228.
Mathematical Reviews (MathSciNet): MR53:14105
Zentralblatt MATH: 0326.46011
[20] H. H. Schaefer, Banach lattices and positive operators, Die Grundlehren der mathematischen Wissenschaften, Band 215, Springer-Verlag, New York, 1974.
Mathematical Reviews (MathSciNet): MR54:11023
Zentralblatt MATH: 0296.47023
[21] E. Scheffold, Fixrume regulre Operatoren und ein Korovkin-Satz, J. Funct. Anal., 30(1978),147-161.
Mathematical Reviews (MathSciNet): MR80b:47049
Zentralblatt MATH: 0394.47017
[22] L. Tzafriri, Remarks on contractive projections in Lp-spaces, Israel J. Math., 7 (1969), 9-15.
Mathematical Reviews (MathSciNet): MR40:1766
Zentralblatt MATH: 0184.15103
[23] M. J. Wicks et al. (eds.), Proceedingsof the International Mathematical Con- ference, Singapore 1981,Mathematics Studies74, North-Holland,Amsterdam, 1982.
Mathematical Reviews (MathSciNet): MR84b:00010

2009 © Pacific Journal of Mathematics