Edgar Lorch
#91,603
Most Influential Person Across History
American mathematician
Edgar Lorch's AcademicInfluence.com Rankings
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Mathematics
Edgar Lorch's Degrees
- PhD Mathematics University of Pennsylvania
Why Is Edgar Lorch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Edgar Raymond Lorch was a Swiss American mathematician. Described by The New York Times as "a leader in the development of modern mathematics theory", he was a professor of mathematics at Columbia University. He contributed to the fields general topology, especially metrizable and Baire spaces, group theory of permutation groups and functional analysis, especially spectral theory, convexity in Hilbert spaces and normed rings.
Edgar Lorch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The theory of analytic functions in normed Abelian vector rings (1943) (85)
- On Certain Implications Which Characterize Hilbert Space (1948) (43)
- Bicontinuous linear transformations in certain vector spaces (1939) (39)
- Means of iterated transformations in reflexive vector spaces (1939) (39)
- On a calculus of operators in reflexive vector spaces (1939) (36)
- The integral representation of weakly almost-periodic transformations in reflexive vector spaces (1941) (27)
- Review: P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity (1952) (15)
- The spectrum of linear transformations (1942) (13)
- A curvature study of convex bodies in banach spaces (1953) (12)
- The Cauchy-Schwarz Inequality and Self-Adjoint Spaces (1945) (12)
- Differentiable inequalities and the theory of convex bodies (1951) (9)
- Continuity and Baire Functions (1971) (9)
- The integral representation of unbounded self-adjoint transformations in Hilbert space (1936) (8)
- Riemann Metrics Associated with Convex Bodies and Normed Spaces (1956) (8)
- On some properties of the metric subalgebras ofℓ∞ (1981) (6)
- Certain compact spaces and their homeomorphism groups (1982) (6)
- The structure of normed abelian rings (1944) (5)
- The Projection of a Linear Functional on the Manifold of Integrals (1957) (5)
- Szeged in 1934 (1993) (4)
- On the volume of smooth convex bodies in Hilbert space (1954) (3)
- Review: F. Riesz and B. Sz.-Nagy, Leçons d'analyse functionelle (1953) (2)
- On the Isomorphisms of Certain Groups of Permutations of the Integers (1983) (2)
- On the Isomorphisms of Certain Groups of Permutations of the Integers (1983) (2)
- Problems in the classification of certain compact spaces (1983) (2)
- Joseph Fels Ritt (1951) (1)
- On compact metric spaces and the group of Baire equivalences (1968) (1)
- Review: A. Fletcher, J. C. P. Miller and L. Rosenhead, An index of mathematical tables (1947) (1)
- MAA Studies in Mathematics, Volume 1, Studies in Modern Analysis. (1962) (1)
- Review: M. Picone and G. Fichera, Trattato di analisi matematica. Vol. 1 (1954) (1)
- Book Review: Tables of Bessel functions of fractional order. (1949) (1)
- Review: M. Naimark, Normed rings (1963) (1)
- Review: S. Pankajam, Ideal Theory in Boolean Algebra and its Application to Deductive Systems (1942) (1)
- Review: Tables of spherical Bessel functions (1947) (0)
- Rated X for Mathematical Minors. (1977) (0)
- Review: Tables of the Bessel functions of the first kind of orders zero, one, two, and three (1947) (0)
- Baire isomorphisms between certain non-metric spaces (1975) (0)
- Review: Tables of associated Legendre functions (1946) (0)
- A Completeness Theorem on the Group of Baire Equivalences (1969) (0)
- Review: N. G. Parke, Guide to the literature of mathematics and physics including related works on engineering science (1949) (0)
- Mathematical Education Notes (1959) (0)
- Book Review: Tables of spherical Bessel functions (1947) (0)
- Book Review: Leons d'analyse functionelle (1953) (0)
- Review: Tables of fractional powers (1947) (0)
- Review: J. F. Ritt, Integration in finite terms (1948) (0)
- Book Review: Guide to the literature of mathematics and physics including related works on engineering science (1949) (0)
- Review: Table of $\arcsin x$ (1946) (0)
- Review: Tables of the Bessel functions of the first kind of orders four, five, six, seven, eight, and nine (1949) (0)
- Review: Tables of spherical Bessel functions. Vol. II (1949) (0)
- Review: E. Cambi, Eleven and fifteen-place tables of Bessel functions of the first kind, to all significant orders (1949) (0)
- Threats to company minds (1995) (0)
- Book Review: An index of mathematical tables (1947) (0)
- On Automorphisms of the Group of Baire Equivalences of a Complete Separable Metric Space (1976) (0)
- Book Review: Tables of fractional powers (1947) (0)
- Review: Tables of the modified Hankel functions of order one-third and of their derivatives (1947) (0)
- Book Review: Table of (1946) (0)
- Review: Tables of Bessel functions of fractional order. Vol. I (1949) (0)
- Book Review: Eleven and fifteen-place tables of Bessel functions of the first kind, to all significant orders (1949) (0)
- Pankajam S.. Ideal theory in Boolean algebra and its application to deductive systems. Proceedings of the Indian Academy of Sciences , Section A, vol. 14 (1941), pp. 670–684. (1942) (0)
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