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Degrees:
M.S., Rensselaer Polytechnic Inst.
Ph.D., Duke Univ.
M.A., Duke Univ.
M.A., Bucknell Univ.
A.B., Dartmouth College
Prof. Robbins came to Trinity directly out of graduate
school in 1972. He was fortunate to enjoy good students, good colleagues, and a good place to work overall during his forty-odd years (some of them very odd indeed) at Trinity.
Latterly, however, his latent Puritanism surfaced, and he felt guilty about so much enjoyment, so he retired in 2014. Several years later, he and his wife moved to Tucson, AZ where he is content never again to shovel snow, rake leaves, or mow grass.
He is reasonably sure he did not totally botch more than about a
dozen of the many courses he taught over his 42 years at Trinity.
He remembers many of his Trinity students fondly, even more of them vividly, and flatters himself to believe that not all of them will refuse to contribute to the College because of their classroom
experience with him.
His research over the years was in the area of functional
analysis, specifically, Banach modules over Banach algebras, and even more specifically C(X)-modules of vector-valued functions. His goal had been to have papers ready for publication at the time he shuffled off this mortal coil, so that he would have both published and perished, but that is not going to happen. (Unlike the Austrian mathematician Leopold Vietoris, 1890-2001, who published his last paper at age 106.) His Erdos number is 4, his Einstein number is 6, and his Kevin Bacon number is 3. |
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That's all folks!
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Character amenability of vector-valued algebras (with T. Hill), Acta Comment. Univ. Tartu Math. 27 (2023), 257-268.
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Module bundles and module amenability (with T. Hill), Acta Comment. Univ. Tartu Math. 25 (2021), 119-141.
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A note on irreducible representations of some vector-valued function algebras (with T. Hõim), Adv. Oper. Theory 4 (2019), no. 2, 419-427.
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Cover topologies, subspaces, and quotients for some spaces of vector-valued functions (with T. Hõim), Adv. Oper. Theory 3 (2018), no. 2, 351-364.
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Cover-strict topologies, ideals, and quotients for some spaces of vector-valued functions (with T. Hõim), Banach J. Math. Anal. 10 (2016), 783-799.
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Amenability as a hereditary property in some algebras of vector-valued functions (with T. Hõim), Function Spaces in Analysis, Contemporary Mathematics 645 (Amer. Math. Soc., Providence, RI, 2015), 135-144.
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Spectral synthesis and other results in some topological algebras of vector-valued functions (with T. Hõim), Quaest. Math. 34 (2011), 361-376.
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Strict topologies on spaces of vector-valued functions (with T. Hõim), Acta Comment. Univ.Tartu. Math. 14 (2010), 75-90.
- Isomorphisms into section spaces of Banach bundles (with T. Hõim), Quaest. Math. 30 (2007), 97-113.
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Section spaces of Banach bundles which generalize some function spaces (with T. Hõim), Siberian Adv. Math. 16 (2006), 71-81.
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Banach-Stone theorems for Banach bundles (with T. Hõim), Acta Comment. Univ. Tartu. Math. 9 (2005), 65-76.
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Some extremal properties of section spaces of Banach bundles and their duals, II (with T. Hõim), Quaest. Math. 26 (2003), 57-66.
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Sectional representation of Banach modules and their multipliers (with T. Hõim), International J. Math. and Math. Sci., 33 (2003), 817-825.
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A note on the space of weakly continuous sections of a Banach bundle (with A. V. Koptev), Siberian Adv. Math., 12 (2002), 51-62.
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Some extremal properties of section spaces of Banach bundles and their duals, International J. Math. and Math. Sci., 29 (2002), 563-572.
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Modules over commutative C*-algebras and the BSE condition, Houston J. Math. 28 (2002), 159-168.
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BSE Banach modules and bundles of Banach spaces,
Houston J. Math. 24 (1998), 489-505.
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Maximal ideals in algebras of vector-valued functions (with J. W. Kitchen), International J. Math. and Math. Sci. 19 (1996), 549-554.
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Bundles of Banach algebras, II (with J. W. Kitchen), Houston J. Math. 20 (1994), 435-451.
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Bundles of Banach algebras (with J. W. Kitchen), International J. Math. and Math. Sci. 17 (1994), 671-680.
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Irreducible C(X)-modules are one-dimensional: a bundle-theoretic proof (with J. W. Kitchen), Rev. Colombiana Mat. 27 (1993), 209-211.
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Integral operators on the section space of a Banach bundle (with J. W. Kitchen), International J. Math. and Math. Sci. 16 (1993), 449-458.
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Pullbacks of Banach bundles (with J. W. Kitchen), Rocky Mt. J. Math. 22 (1992), 553-568.
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Linear algebra in the category of C(X)-locally convex modules (with J. W. Kitchen), Rocky Mt. J. Math. 19 (1989), 433-480.
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Two notions of spectral synthesis for Banach modules (with J. W. Kitchen), Tamkang J. Math. 16 (1985), 59-65.
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Internal functionals and bundle duals (with J. W. Kitchen), International J. Math. and Math. Sci. 7 (1984), 689-695.
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Sectional representation of Banach modules (with J. W. Kitchen), Pacific J. Math. 109 (1983), 135-156.
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Gelfand representation of Banach modules (with J. W. Kitchen), Dissertationes Math. (Rozprawy Mat.)203 (1982) (1983), 44 pp.
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Tensor products of Banach bundles (with J. W. Kitchen), Pacific J. Math. 94 (1981), 151-169.
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Toward a generalization of the Gelfand transform, Nieuw Arch. Wisk. (3), 22 (1974), 138-142.
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A constructive proof of Gelbaum’s theorem on tensor products,
Bull. Austral. Math. Soc.
8 (1973), 211-214.
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Existence of a bounded approximate identity in a tensor product, Bull. Austral. Math. Soc. 6 (1972), 443-445.
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