Brian Cole

Professor Emeritus

Email: bjc<at>math.brown.edu

 

Mailing Address:

Mathematics Department
Box 1917
Brown University
Providence, RI 02912

 

COURSE SCHEDULE

Fall 2021 Semester

  • Math 2250 - Complex Function Theory

Analysis Seminars - Mondays at 3pm in Kassar 105

RESEARCH INTERESTS - Functional Analysis

BACKGROUND - Education: Ph.D., Yale, 1968

RECENT PUBLICATIONS

  • Ando's theorem and sums of squares. Indiana Univ. Math. J. 48 (1999), no. 3, 767--791.w/Wermer, John
  • Boundaries of interpolation bodies. Houston J. Math. 23 (1997), no. 3, 499--527.w/Wermer, John
  • Subharmonicity without upper semicontinuity. J. Funct. Anal. 147 (1997), no. 2, 420--442.w/Ransford, T. J.
  • Interpolation in the bidisk. J. Funct. Anal. 140 (1996), no. 1, 194--217.
    , JohnWermerw/
  • Isometries of certain operator algebras. Proc. Amer. Math. Soc. 124 (1996), no. 10, 3047--3053. w/Wermer, John
  • Pick interpolation, von Neumann inequalities, and hyperconvex sets. Complex potential theory (Montreal, PQ, 1993), 89--129, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 439, Kluwer Acad. Publ., Dordrecht, 1994. w/Wermer, John
  • Weak-star continuous analytic functions. Canad. J. Math. 47 (1995), no. 4, 673--683. w/Aron, R. M.; Gamelin, T. W.
  • Spectra of analytic functions in infinite dimensions. X Latin American School of Mathematics (Spanish) (Tanti, 1991). Rev. Un. Mat. Argentina 37 (1991), no. 1-2, 5--9 (1992). w/Aron, R.; Gamelin, T. 
  • A characterization of Pick bodies. J. London Math. Soc. (2) 48 (1993), no. 2, 316--328. w/Lewis, K.; Wermer, J.
  • Analytic disks in fibers over the unit ball of a Banach space. Michigan Math. J. 39 (1992), no. 3, 551--569. w/Gamelin, T. W.; Johnson, W. B.
  • Pick conditions on a uniform algebra and von Neumann inequalities. J. Funct. Anal. 107 (1992), no. 2, 235--254.w/Lewis, Keith; Wermer, John
  • Spectra of algebras of analytic functions on a Banach space. J. Reine Angew. Math. 415 (1991), 51--93. w/Aron, R. M.; Gamelin, T. W.
  • A uniform algebra of analytic functions on a Banach space. Trans. Amer. Math. Soc. 314 (1989), no. 2, 639--659. w/Carne, T. K.; Gamelin, T. W.
  • Representing measures and Hardy spaces for the infinite polydisk algebra.Proc. London Math. Soc. (3) 53 (1986), no. 1, 112--142. (Reviewer: Frank Beatrous, Jr.) w/Gamelin, T. W.
  • Weak-star continuous homomorphisms and a decomposition of orthogonal measures. Ann. Inst. Fourier (Grenoble) 35 (1985), no. 1, 149--189. w/Gamelin, T. W.
  • Tight uniform algebras and algebras of analytic functions. J. Funct. Anal. 46(1982), no. 2, 158--220. w/Gamelin, T. W.
  • Jensen measures and a theorem of Radó. J. Funct. Anal. 35 (1980), no. 1, 26--41.w/Glicksberg, Irving
  • A-measures on complex manifolds and some applications. J. Functional Analysis 11 (1972), 393--400. w/Range, R. Michael