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JOURNALS // Sibirskii Matematicheskii Zhurnal

Sibirsk. Mat. Zh., 2023, Volume 64, Number 5, Pages 1023–1031 (Mi smj7813)

On extension of multilinear operators and homogeneous polynomials in vector lattices
Z. A. Kusraeva

References

1. Aliprantis C. D., Burkinshaw O., Positive operators, Acad. Press, New York, 1985  mathscinet  zmath
2. Bu Q., Buskes G., “Polynomials on Banach lattices and positive tensor products”, J. Math. Anal. Appl., 388:2 (2012), 845–862  crossref  mathscinet  zmath
3. Dineen S., Complex analysis on infinite dimensional spaces, Springer-Verl., Berlin, 1999  mathscinet  zmath
4. Loane J., “Polynomials on Riesz spaces”, J. Math. Anal. Appl., 364:1 (2010), 71–78  crossref  mathscinet  zmath
5. Boulabier K., Buskes G., “Vector lattice powers: f-algebras and functional calculus”, Commun. Algebra, 34:4 (2006), 1435–1442  crossref  mathscinet
6. Kusraeva Z. A., “Ob odnovremennom prodolzhenii regulyarnykh odnorodnykh ortogonalno additivnykh polinomov”, Vladikavk. mat. zhurn., 13:4 (2011), 28–34  mathnet  mathscinet  zmath
7. Kusraev A. G., Ob odnom svoistve bazy $K$-prostranstva regulyarnykh operatorov i nekotorykh ego prilozheniyakh, Preprint, In-t matematiki SO AN, Novosibirsk, 1977, 17 pp.
8. Buskes G., Kusraev A. G., “Representation and extension of orthoregular bilinear operators”, Vladikavk. Math. J., 9:1 (2007), 16–29  mathnet  mathscinet  zmath
9. Zalduendo I., “Extending polynomials on Banach spaces – A survey”, Rev. Unión Matemática Argentina, 46:2 (2005), 45–72  mathscinet  zmath
10. Fremlin D. H., “Tensor product of Archimedean vector lattices”, Amer. J. Math., 94 (1972), 777–798  crossref  mathscinet  zmath
11. Schaefer H. H., Banach lattices and positive operators, Springer-Verl., Berlin etc., 1974  mathscinet  zmath
12. Loane J., Polynomials on Riesz spaces, Thesis, Department of Mathematics National University of Ireland, Galway, 2007
13. Kusraev A. G., Mazhoriruemye operatory, Nauka, M., 2003  mathscinet
14. Lacey H. E., The isometric theory of classical Banach spaces, Springer-Verl., Berlin etc., 1974  mathscinet  zmath


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