• Thumbnail for Michael Banach
    Michael Wallace Banach (born November 19, 1962) is an American prelate of the Roman Catholic Church who has worked in the diplomatic service of the Holy...
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  • The Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear functionals defined on a vector subspace of...
    77 KB (12,643 words) - 19:21, 19 April 2024
  • Thumbnail for Luis Mariano Montemayor
    2008–2015 Succeeded by Michael Banach Preceded by Giuseppe Pinto Apostolic Nuncio to Cabo Verde 2008–2015 Succeeded by Michael Banach Preceded by Giuseppe...
    8 KB (498 words) - 23:40, 3 August 2024
  • Thumbnail for Michael A. Blume
    Michael August Blume (born May 30, 1946) is an American prelate of the Catholic Church who worked in the Roman Curia from 1995 to 2005 and then in the...
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  • Thumbnail for Kurian Mathew Vayalunkal
    Church Syro Malabar Catholic Church Appointed 1 January 2021 Predecessor Michael Banach Other post(s) Titular Archbishop of Ratiaria Orders Ordination 27 December...
    6 KB (388 words) - 11:39, 4 August 2024
  • two-time NCAA Champion (1980, 1981) Ed Banach. Schultz had lost to Banach 4 times before 1982. Schultz said Banach was the best conditioned wrestler he...
    24 KB (2,836 words) - 11:10, 15 August 2024
  • Thumbnail for Janusz Urbańczyk
    Śliwiński Consecration 6 April 2024 by Pietro Parolin, Jacek Jezierski, and Michael Banach Personal details Born Janusz Urbańczyk (1967-05-19) 19 May 1967 (age 57)...
    6 KB (371 words) - 21:58, 16 July 2024
  • Mariano Montemayor (19 June 2008 – 22 June 2015) Michael Banach (19 March 2016) Apostolic Nuncios Michael Banach (13 May 2017 – 3 May 2022) Waldemar Stanisław...
    6 KB (525 words) - 08:31, 23 July 2023
  • Thumbnail for Anti-nuclear movement
    measures and cost-benefit analyses are completed by independent agencies". Michael Banach, the current Vatican representative to the International Atomic Energy...
    204 KB (19,320 words) - 17:17, 11 August 2024
  • Thumbnail for Holy See–Papua New Guinea relations
    Kurian Mathew Vayalunkal who was appointed in 2016 to replace Archbishop Michael Banach. Foreign relations of the Holy See Diplomatic Relations of the Holy...
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  • Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if K {\displaystyle K} is...
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  • Thumbnail for László Sólyom
    house speaker László Kövér, cardinal Péter Erdő and apostolic nuncio Michael Banach, in addition to various members of the Hungarian government and opposition...
    29 KB (2,701 words) - 08:28, 20 August 2024
  • Thumbnail for Waldemar Stanisław Sommertag
    Church Roman Catholic Church Appointed 6 September 2022 Predecessor Michael Banach Other post(s) Titular Archbishop of Traiectum ad Mosam Orders Ordination...
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  • {\displaystyle S} is not dense in X , {\displaystyle X,} then the Hahn–Banach theorem may sometimes be used to show that an extension exists. However...
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  • Thumbnail for Anti-nuclear power movement in Japan
    and then the prefectures near the Fukushima Daiichi nuclear disaster. Michael Banach, the Vatican representative to the International Atomic Energy Agency...
    59 KB (6,568 words) - 13:00, 10 January 2024
  • Thumbnail for Gilles Pisier
    Hilbert spaces among Banach spaces by S. Kwapień. Using probability in vector spaces, Pisier proved that super-reflexive Banach spaces can be renormed...
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  • of strongly continuous one-parameter semigroups of linear operators on Banach spaces. It is sometimes stated for the special case of contraction semigroups...
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  • Thumbnail for List of Pontifical North American College alumni
    1959) Donald Cardinal Wuerl, Archbishop of Washington (ordained 1966) Michael Banach, Titular Bishop of Memphis and Apostolic Nuncio to Papua New Guinea...
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  • analysis and representation theory. He is known for Fell bundles (i.e. Banach *-algebraic bundles). He was an accomplished linguist who knew Sanskrit...
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  • Thumbnail for Per Enflo
    the approximation problem and later the invariant subspace problem for Banach spaces. In solving these problems, Enflo developed new techniques which...
    41 KB (4,332 words) - 16:54, 8 July 2024
  • December 2007) Luis Mariano Montemayor (17 September 2008 – 22 June 2015) Michael Banach (22 August 2016 – 3 May 2022) Waldemar Stanisław Sommertag (6 September...
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  • direction of Walter Philipp. His thesis was in the area of probability in Banach spaces, and solved a problem related to the law of the iterated logarithm...
    3 KB (301 words) - 17:49, 15 November 2023
  • December 2007) Luis Mariano Montemayor (19 June 2008 – 22 June 2015) Michael Banach (9 July 2016 – 3 May 2022) Waldemar Stanisław Sommertag (6 September...
    5 KB (407 words) - 14:41, 27 October 2023
  • Thumbnail for Hilbert space
    space is a complete metric space. A Hilbert space is a special case of a Banach space. The earliest Hilbert spaces were studied from this point of view...
    128 KB (17,487 words) - 22:34, 20 June 2024
  • Thumbnail for Vector space
    function spaces, inner product spaces, normed spaces, Hilbert spaces and Banach spaces. In this article, vectors are represented in boldface to distinguish...
    87 KB (11,494 words) - 16:23, 2 August 2024
  • November 2011) Santo Rocco Gangemi (27 January 2012 – 16 April 2013) Michael Banach (18 May 2013 – 19 March 2016) Kurian Mathew Vayalunkal (21 September...
    8 KB (730 words) - 21:36, 20 July 2024
  • differentiable maps between manifolds, for differentiable functions between Banach spaces, and so forth. The theorem was first established by Picard and Goursat...
    39 KB (7,303 words) - 00:11, 8 August 2024
  • constant coefficient ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations...
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  • November 2011) Santo Rocco Gangemi (24 March 2012 – 16 April 2013) Michael Banach (16 April 2013 – 19 March 2016) Kurian Mathew Vayalunkal (3 May 2016...
    6 KB (512 words) - 21:36, 20 July 2024
  • Thumbnail for Michael G. Crandall
    doctorate in 1999. His legacy of contributions contains all but not limited to: Banach solutions in Euclidean spaces, Fourier transforms of planar variables, PDE...
    6 KB (525 words) - 08:17, 13 May 2024