George Maltese

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George Maltese 1970

George John Maltese (born June 24, 1931 in Middletown , Connecticut; † October 23, 2009 ibid) was an American mathematician who dealt in particular with problems of functional analysis .

Life

From 1949 to 1953, Maltese studied at Wesleyan University in his hometown of Middletown. There he obtained his first academic degree ( Bachelor of Arts , BA) in mathematics. 1953–1954 he continued his studies as a Fulbright Fellow at the Johann Wolfgang Goethe University in Frankfurt am Main . At Yale University (New Haven, Connecticut), where he has studied since 1956, he received his Ph. D. in 1960 with the dissertation "Generalized Convolution Algebras and Spectral Representations" supervised by Cassius Ionescu-Tulcea . After a research stay as a NATO Fellow from 1960 to 1961 at the Georg-August University of Göttingen and a teaching position at the Massachusetts Institute of Technology (MIT) in Cambridge (USA), he was appointed to the University of Maryland (College Park, Maryland) in 1963 . There he worked with interruptions through visiting professorships at the University of Frankfurt (1966/67 and 1970/71) until 1973, from 1969 as full professor.

In 1973, Maltese accepted an appointment at the Westphalian Wilhelms University in Münster , where he retired in 1996 . His main areas of mathematical research in the field of functional analysis were the harmonic analysis , the theory of Banach algebras , the integral representation theory of convex sets and Korovkin theory .

1970/71 he was visiting professor at the University of Palermo, 1979 at the University of Bari, 1977 at the University of Kuwait, 1988/89 at the University of Bahrain and 1990/91 at the University of Oman.

In the Mathematics Genealogy Project 17 students of Maltese are listed, u. a. Ferdinand Beckhoff (Habilitation 1994) and Anand Srivastav (Computer Science Professor at the Christian-Albrechts-Universität Kiel ).

Maltese has been a member of the Accademia nazionale di scienze, lettere e arti di Palermo since 1987. After his retirement, he and his wife Marlene Kunz (married in 1956, one son and one daughter) returned to his hometown of Middletown, where he worked as a researcher at Wesleyan University until 2009 .

When his successor at the Westphalian Wilhelms University in Münster was Joachim Cuntz appointed.

Publications (selection)

  • Convex ideals and positive multiplicative forms in partially ordered algebras. In: Math. Scand. 9, 1961, pp. 372-382.
  • Spectral representations for solutions of certain abstract functional equations. In: Compos. Math. 15, 1961, pp. 1-22.
  • Spectral representations for some unbounded normal operators. In: Trans. Am. Math. Soc. 110, 1964, pp. 79-87.
  • with RS Bucy: Extreme positive definite functions and Choquet's representation theorem. In: J. Math. Anal. Appl. 12, 1965, pp. 371-377.
  • with RS Bucy: A representation theorem for positive functionals on involution algebras. In: Math. Ann. 162, 1966, pp. 364-367.
  • Multiplicative extensions of multiplicative functionals in Banach algebras. In: Arch. Math. 21, 1970, pp. 502-505.
  • On Bauer's characterization of extreme points. In: Math. Ann. 184, 1970, pp. 326-328.
  • Extensions of pure states in normed spaces. In: Rend. Circ. Mat. Palermo, II. Ser. 25, 1976, pp. 83-88.
  • Convexity methods and the Choquet boundary in Banach algebras. In: Boll. Unione Mat. Ital. V. Ser., A 15, 1978, pp. 131-136.
  • Integral representation theorems via Banach algebras. In: Enseign. Math. II. Sér. 25, 1979, pp. 273-284.
  • A remark on the existence of nonannihilating vectors and functionals in normed spaces. In: Boll. Unione Mat. Ital. V. Ser., A 17, 1980, pp. 128-130.
  • Prime ideals are dense in maximal ideals of continuous functions. In: Rend. Circ. Mat. Palermo, II. Ser. 30, 1981, pp. 50-52.
  • Extreme points of intervals in C * algebras. In: Arch. Math. 45, 1985, pp. 354-358.
  • A simple proof of the fundamental theorem of finite Markov chains. In: Am. Math. Mon. 93, 1986, pp. 629-630.
  • with Gerd Niestegge: A linear Radon-Nikodým type theorem for C * -algebras with applications to measure theory. In: Ann. Sc. Standard. Great. Pisa, Cl. Sci., IV. Ser. 14, No. 2, 345-354
  • with Regina Wille-Fier: A characterization of homomorphisms in certain Banach involution algebras. In: Stud. Math. 89, No. 2, 1988, pp. 133-143.
  • Extreme positive functionals and ideals of finite codimension in commutative Banach * algebras. In: Atti Semin. Mat. Fis. Univ. Modena 39, No. 2, 1991, pp. 569-580.
  • A representation theorem for positive functionals on involution algebras (revisited). In: Boll. Unione Mat. Ital. VII. Ser., A 8, No. 3, 1994, pp. 431-438.
  • Some remarks on the Riesz representation theorem in Hilbert space. In: Boll. Unione Mat. Ital. VII. Ser., B 11, No. 4, 1997, pp. 903-907.
  • The role of convexity in existence theorems for invariant and hyperinvariant subspaces in Hilbert spaces. In: Rend. Circ. Mat. Palermo. II. Ser. 49, no. 2, 2000, pp. 381-390.

swell

  • Directory of members of the German Mathematicians Association 2007

Web links

Individual evidence

  1. ↑ Birth and career dates see Pamela Kalte u. a .: American Men and Women of Science. Thomson Gale, 2004.
  2. ↑ George Maltese in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Maltese, George
ALTERNATIVE NAMES Maltese, George John (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 24, 1931
PLACE OF BIRTH Middletown , Connecticut
DATE OF DEATH October 23, 2009
Place of death Middletown , Connecticut