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Almost disjointness preserving functionals on Banach lattices of differentiable functions (Research on preserver problems on Banach algebras and related topics)

AN, Guimei CHEN, Jinxi LI Lei LIU, Tong 京都大学

2023.07

概要

Let C¹[0, 1] be the space of all continuously differentiable function on [0, 1]. When define the order f ≥ g by f(0) ≥ g(0) and f′ ≥ g′ pointwise on [0, 1], and the norm is defined by ∥f∥σ = |f(0)| + ∥f′∥∞, the space C¹[0, 1] is a Banach lattice. We will give the representation of bounded ε-disjointness preserving linear functionals of C¹[0, 1].

参考文献

[1] Y. A. Abramovich and A. K. Kitover, Inverses of disjointness preserving operators, Mem.

Amer. Math. Soc., 143(2000), no. 679.

[2] J. Araujo, Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity, Adv. Math., 187 (2004), 488-520.

[3] K. Boulabiar, Recent trends on order bounded disjointness preserving operators, Irish

Math. Soc. Bull., 62(2008), 43-69.

[4] L. G. Brown and N.-C. Wong, Unbounded disjointness preserving linear functionals,

Monatsh. Math., 141(2004), 21-32.

[5] D. H. Leung, L. Li and Y.-S. Wang, Inverses of disjointness preserving operators, Studia

Math., 234(3)(2016), 217-240.

[6] G. Dolinar, Stability of disjointness preserving mappings, Proc. Amer. Math. Soc.,

130(1)(2002), 129-138.

[7] K. Jarosz, Automatic continuity of separating linear isomorphisms, Canad. Math. Bull.,

33(1990), 139-144.

[8] R. Kantrowitz and M. Neumann, Disjointness preserving and local operators on algebras

of differentiable functions, Glag. Math. J., 43(2001), 295-309.

Almost disjointness preserving functionals

131

[9] H. Koshimizu, Finite codimensional linear isomortries on spaces of differentiable and Lipschitz functions, Cent. Eur. J. Math., 9(2011), 139-146.

[10] D. H. Leung, L. Li and Y.-S. Wang, Inverses of disjointness preserving operators, Studia

Math., 234(3)(2016), 217-240.

[11] P. Meyer-Nieberg, Banach lattices, Springer, Berlin, 1991.

[12] T. Oikhberg, On the stability of some preservers, Linear Algebra Appl., 563(2019), 494526,

[13] T. Oikhberg, A. M. Peralta and D. Puglisi, Automatic continuity of orthognality or disjointness preserving bijections, Rev. Mat. Complut., 26(2013), 57-88.

[14] T. Oikhberg and P. Tradacete, Almost band preservers, Canad. J. Math., 69(2017), 650686.

[15] W. Rudin, Real and Complex Analysis(3rd Edition), McGraw-Hill Book Co., Singapore,

1986.

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