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Mathematical and Statistical Sciences

Dr Raymond A. Ryan

MSc, PhD

Biography

PhD 1980, Trinity College Dublin. "Applications of Topological Tensor Products to Infinite Dimensional Holomorphy" (Supervisor: R. Aron)
Senior Lecturer, NUI Galway, 1997.
Head of School of Mathematics, Statistics & Applied Mathematics, 2008 - 20017

Research Interests

Functional Analysis:

Tensor products of Banach spaces
Polynomial and holomorphic mappings on Banach spaces
Polynomial mappings on Riesz spaces and Banach lattices
Real analytic functions on Banach spaces and Banach lattices

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
	(2020)	'Synnatzschke's Theorem for Polynomials' Christopher Boyd, Raymond A.Ryan & Nina Snigireva (2020) 'Synnatzschke's Theorem for Polynomials'. Positivity, [Details]
	(2019)	'Geometry of Spaces of Orthogonally Additive Polynomials on C(K)' Christopher Boyd, Raymond A. Ryan & Nina Snigireva (2019) 'Geometry of Spaces of Orthogonally Additive Polynomials on C(K)'. Journal Of Geometric Analysis, [DOI] [Details]
	(2018)	'Radius of Analyticity of Analytic Functions on Banach Spaces' C. Boyd, R.A. Ryan, N. Snigireva (2018) 'Radius of Analyticity of Analytic Functions on Banach Spaces'. Journal Of Mathematical Analysis And Applications, [DOI] [Details]
	(2017)	'Modular Metric Spaces' H. Abobaker & R. A. Ryan (2017) 'Modular Metric Spaces'. Bulletin Of The Irish Mathematical Society, [Details]
	(2016)	'Positive polynomials on Riesz spaces' Cruickshank, J., Loane, J. & Ryan, R.A. (2016) 'Positive polynomials on Riesz spaces'. Positivity, [DOI] [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]
	(2006)	'An integral duality formula' Grecu, Bogdan C.; Ryan, Raymond A. (2006) 'An integral duality formula'. Mathematica Scandinavica, 98 (2):229-236 [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 (2000) 'Weakly compact composition operators between algebras of bounded analytic functions'. Proceedings Of The American Mathematical Society, 128 :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]
	(2000)	'Weakly compact composition operators between algebras of bounded analytic functions' Galindo, P,Lindstrom, M,Ryan, R (2000) 'Weakly compact composition operators between algebras of bounded analytic functions'. Proceedings Of The American Mathematical Society, 128 :149-155 [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)	'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]
	(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]
	(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]
	(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]
	(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)	'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)	'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)	'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]
	(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'. [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]

Conference Contributions

	Year	Publication
	(2019)	AGA Analysis, Geometry and Algebra, Raymond A Ryan (joint work with C. Boyd & N.Snigireva) (2019) Banach Lattices in Infinite Dimensional Complex Analysis. [Invited Oral Presentation], AGA Analysis, Geometry and Algebra, Trinity College Dublin , 08-MAY-19 - 10-MAY-19. [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]