Research Interests

Functional Analysis; Tensor Products of Banach Spaces; Polynomial and Holomorphic Mappings on Banach Spaces

 

Books

Raymond A. Ryan (2002) Introduction to Tensor Products of Banach Spaces. London: Springer. [Details]

   

Peer Reviewed Journals

Ryan, R.A. (1979) 'Dunford-Pettis properties'. Bull. Acad. Polon. Sci. Sér. Sci. Math, 27 (5):373-379. [Details]

Ryan, R.A. (1983) 'A simple proof of Taylor's theorem'. Irish Math. Soc. Newsletter, 7 (69). [Details]

Aron, R.M., Moraes, L., Ryan, R.A. (1987) 'Factorization of holomorphic mappings in infinite dimensions'. Math. Ann, 277 (4):617-628. [Details]

Ryan, R.A. (1987) 'Holomorphic mappings on $l_1$'. Trans. Amer. Math. Soc, 302 (2):797-811. [Details]

Ryan, R.A. (1987) 'The Dunford-Pettis property and projective tensor products'. Bull. Polish Acad. Sci. Math, 35 (11-Dec):785-792. [Details]

Lindstrom, M., Ryan, R.A. (1991) 'Limited holomorphic mappings on Banach spaces'. Proc. Roy. Irish Acad. Sect. A, 91 (1):57-62. [Details]

Ryan, R.A. (1991) 'Complemented copies of $c_0$ in spaces of compact operators'. Proc. Roy. Irish Acad. Sect. A, 91 (2):239-241. [Details]

Lindstrom, M., Ryan, R.A. (1992) 'Applications of ultraproducts to infinite-dimensional holomorphy'. Math. Scand, 71 (2):229-242. [Details]

Aron, R., Lacruz, M., Ryan, R.A., Tonge, A.M. (1992) 'The generalized Rademacher functions'. Note Mat, 12 :15-25. [Details]

Turett, B., Ryan, R.A. (1998) 'Geometry of spaces of polynomials'. Math. Anal. Appl, 221 (2):698-711. [Details]

Boyd, C., Ryan, R.A. (1998) 'Bounded weak continuity of homogeneous polynomials at the origin'. Arch. Math. (Basel), 71 (3):211-218. [Details]

Kirwan, P., Ryan, R.A. (1998) 'Extendibility of homogeneous polynomials on Banach spaces'. Proc. Amer. Math. Soc, 126 (4):1023-1029. [Details]

Aron, R,Lindstrom, M,Ruess, WM,Ryan, R (1999) 'Uniform factorization for compact sets of operators'. Proceedings Of The American Mathematical Society, 127 :1119-1125. [Details]

Galindo, P., Lindstrom, M., Ryan, R.A. (2000) 'Weakly compact composition operators between algebras of bounded analytic functions'. Proc. Amer. Math. Soc, 128 (1):149-155. [Details]

                                 

Thesis

Ryan, R.A. (1980) Applications of topological tensor products to infinite dimensional holomorphy. Trinity Coll. Dublin, PhD thesis. Thesis [Details]