Applications of the Quotient Lifting Property (Research on preserver problems on Banach algebras and related topics)

[1] Monika, F. Botelho and R. Fleming, The existence of linear selection and the quotient

lifting property, Indian Journal of Pure and Applied Mathematics (2021) in-press.

116

Fernanda Botelho

[2] P. Bandyopadhyay and S. Dutta, Almost constrained subspaces of Banach spaces II, Houston J. Math. 35:3 (2009), 945–957.

[3] M. Baronti, On strictly contractive projections on classical sequence spaces, Portugaliae

Mathematica 47:2 (1990), 131-138.

[4] F. Botelho, R. Fleming and T.S.S.R.K. Rao, Proximinality of subspaces and the Quotient

Lifting Property (2022) preprint.

[5] F. Deutsch, Linear selections for the metric projection, J. Functional Analysis 49 (1982),

269-292.

[6] R. Megginson, An introduction to Banach space theory, GTM 183 (1998) Springer Verlag,

New York.

[7] R. Paya and A. Rodriguez-Palacios, Banach spaces which are semi-L-summands in their

biduals, Mat Ann 289 (1991), 529-542.

[8] T. S. S. R. K. Rao, Simultaneously proximinal subspaces, J. Appl. Anal. 22 (2016), 115–

120.

[9] T. S. S. R. K. Rao, Order preserving quotient lifting properties, Positivity 26:37 (2022),

1-8.

[10] M. Spivack, Contractive projections on Banach spaces, Bull. Austral. Math. Soc. 34 (1986),

271-274.

[11] F. Sullivan, Geometric properties determined by the higher duals of a Banach space, Illinois

J. Math.21:2 (1977), 315-331.

[12] P. Harmand, D. Werner, W. Werner, M-ideals in Banach spaces and Banach algebras,

Lect. Notes in Mathematics 1547 Springer Verlag Berlin Heidelberg (1993).

...