Dr Raymond Ryan

MSc, PhD

Contact Details

Senior Lecturer
------------------------
Room ADB-G010
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics

T: Ext. 2331
E: ray.ryan@nuigalway.ie
W: http://www.nuigalway.ie/maths/staff/ray_ryan/
 
researcher

Biography

Research Interests

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

Research Projects

  Project Start Date End Date
EI FP7 TRAVEL AWARDS SCHOOL OF MATHS,STATISTICS AND APPLIED MATHS RAY RYAN 01-JAN-13 31-DEC-13
ENTERPRISE IRELAND H2020 TRAVEL SUPPORT FUND 2014 RAY RYAN 01-JAN-14 31-JAN-15
EI SC2001 195 HOLOMORPHY IDEALS ON BANACK SPACES 01-OCT-01 14-AUG-06

Peer Reviewed Journals

  Year Publication
(2006) 'An integral duality formula'
Grecu, Bogdan C.; Ryan, Raymond A. (2006) 'An integral duality formula'. Mathematica Scandinavica, 98 (2):229-236 [Details]
(2006) 'The norm of the product of polynomials in infinite dimensions'
Boyd, C.; Ryan, R.A. (2006) 'The norm of the product of polynomials in infinite dimensions'. Proceedings Of The Edinburgh Mathematical Society, 49 (1):17-28 [Details]
(2005) 'Tensor products of direct sums'
Grecu, Bogdan C. and Ryan, Raymond A. (2005) 'Tensor products of direct sums'. Ark. Mat, 43 (1):167-180 [DOI] [Details]
(2005) 'Polynomials on Banach spaces with unconditional bases'
Grecu, Bogdan C. and Ryan, Raymond A. (2005) 'Polynomials on Banach spaces with unconditional bases'. Proc. Amer. Math. Soc, 133 (4):1083-1091 [DOI] [Details]
(2005) 'Schauder bases for symmetric tensor products'
Grecu, Bogdan C. and Ryan, Raymond A. (2005) 'Schauder bases for symmetric tensor products'. Publ. Res. Inst. Math. Sci, 41 (2):459-469 [Details]
(2003) 'Zeros of polynomials on Banach spaces: the real story'
Aron, R. M. and Boyd, C. and Ryan, R. A. and Zalduendo, I. (2003) 'Zeros of polynomials on Banach spaces: the real story'. Positivity, 7 (4):285-295 [DOI] [Details]
(2001) 'Geometric theory of spaces of integral polynomials and symmetric tensor products'
Boyd, C. and Ryan, R. A. (2001) 'Geometric theory of spaces of integral polynomials and symmetric tensor products'. J. Funct. Anal, 179 (1):18-42 [DOI] [Details]
(2000) 'Weakly compact composition operators between algebras of bounded analytic functions'
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]
(1999) 'Uniform factorization for compact sets of operators'
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]
(1998) 'Geometry of spaces of polynomials'
Ryan, RA,Turett, B (1998) 'Geometry of spaces of polynomials'. Journal Of Mathematical Analysis And Applications, 221 :698-711 [Details]
(1998) 'Extendibility of homogeneous polynomials on Banach spaces'
Kirwan, P\'adraig and Ryan, Raymond A. (1998) 'Extendibility of homogeneous polynomials on Banach spaces'. Proc. Amer. Math. Soc, 126 (4):1023-1029 [DOI] [Details]
(1998) 'Bounded weak continuity of homogeneous polynomials at the origin'
Boyd, C., Ryan, R.A. (1998) 'Bounded weak continuity of homogeneous polynomials at the origin'. Arch. Math. (Basel), 71 (3):211-218 [Details]
(1992) 'The generalized Rademacher functions'
Aron, R. M. and Lacruz, M. and Ryan, R. A. and Tonge, A. M. (1992) 'The generalized Rademacher functions'. Note Mat, 12 :15-25 [Details]
(1992) 'APPLICATIONS OF ULTRAPRODUCTS TO INFINITE-DIMENSIONAL HOLOMORPHY'
Lindstrom, M. & Ryan, Raymond A. (1992) 'APPLICATIONS OF ULTRAPRODUCTS TO INFINITE-DIMENSIONAL HOLOMORPHY'. Mathematica Scandinavica, 71 :229-242 [Details]
(1991) 'Limited holomorphic mappings on Banach spaces'
Lindstrom, M., Ryan, R.A. (1991) 'Limited holomorphic mappings on Banach spaces'. Proc. Roy. Irish Acad. Sect. A, 91 (1):57-62 [Details]
(1991) 'Complemented copies of $c_0$ in spaces of compact operators'
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]
(1988) 'Weakly compact holomorphic mappings on Banach spaces'
Ryan, Raymond A. (1988) 'Weakly compact holomorphic mappings on Banach spaces'. Pacific J. Math, 131 (1):179-190 [Details]
(1987) 'FACTORIZATION OF HOLOMORPHIC MAPPINGS IN INFINITE DIMENSIONS'
ARON, RM,MORAES, LA,RYAN, RA (1987) 'FACTORIZATION OF HOLOMORPHIC MAPPINGS IN INFINITE DIMENSIONS'. Mathematische Annalen, 277 :617-628 [Details]
(1987) 'The Dunford-Pettis property and projective tensor products'
Ryan, R.A. (1987) 'The Dunford-Pettis property and projective tensor products'. Bull. Polish Acad. Sci. Math, 35 (11-Dec):785-792 [Details]
(1987) 'Holomorphic mappings on $l_1$'
Ryan, Raymond A. (1987) 'Holomorphic mappings on $l_1$'. Trans. Amer. Math. Soc, 302 (2):797-811 [DOI] [Details]
(1983) 'A simple proof of Taylor's theorem'
Ryan, R.A. (1983) 'A simple proof of Taylor's theorem'. Irish Math. Soc. Newsletter, 7 (69) [Details]
(1979) 'Dunford-Pettis properties'
Ryan, R.A. (1979) 'Dunford-Pettis properties'. Bull. Acad. Polon. Sci. Sér. Sci. Math, 27 (5):373-379 [Details]

Books

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

Electronic Article

  Year Publication
(2015) Positive Polynomials on Riesz Spaces.
James Cruickshank, John Loand & Raymond A. Ryan, (2015) Positive Polynomials on Riesz Spaces. arXiv.org: Electronic Article [Details]

Thesis

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

Teaching Interests

  • President's Award for Teaching Excellence 2007.
  • Current Teaching:
    • MA490 Measure Theory
    • MA283 Linear Algebra
    • MA119 Mathematics for Business