## Lorch, Edgar Raymond

Compute Distance To:
 Author ID: lorch.edgar-raymond Published as: Lorch, E. R.; Lorch, Edgar R.; Lorch, Edgar Raymond; Lorch, E. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 65 Publications since 1932, including 3 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 3 Co-Authors with 15 Joint Publications 32 Co-Co-Authors
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### Co-Authors

 48 single-authored 11 Tong, Hing 3 Riesz, Frigyes 1 Aczél, János Dezső 1 Butzer, Paul Leo 1 Erdélyi, Arthur 1 Haruki, Hiroshi 1 Helson, Henry 1 Hersh, Reuben 1 Hewitt, Edwin 1 Hille, Einar 1 Hochstadt, Harry 1 Kallman, Robert R. 1 Laugwitz, Detlef 1 Phillips, Ralph Saul 1 Rickart, Charles E. 1 Rota, Gian-Carlo 1 Sucheston, Louis 1 Taam, Choy-Tak 1 Tandori, Károly 1 Widder, David Vernon 1 Yosida, Kosaku 1 Zaanen, Adriaan Cornelis
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### Serials

 10 Bulletin of the American Mathematical Society 9 Transactions of the American Mathematical Society 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 4 Annals of Mathematics. Second Series 3 American Mathematical Monthly 3 Acta Scientiarum Mathematicarum 3 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Journal of Mathematics and Mechanics 2 Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum 1 Applicable Analysis 1 Studia Mathematica 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Mathematische Zeitschrift 1 L’Enseignement Mathématique. 2e Série 1 Académie Serbe des Sciences, Publications de l’Institut Mathématique 1 Mathematicians of Our Time
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### Fields

 7 General topology (54-XX) 3 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

38 Publications have been cited 226 times in 185 Documents Cited by Year
The theory of analytic functions in normed Abelian vector rings. Zbl 0060.27202
Lorch, Edgar R.
1943
On certain implications which characterize Hilbert space. Zbl 0031.21901
Lorch, E. R.
1948
Bicontinuous linear transformations in certain vector spaces. Zbl 0022.05302
Lorch, E. R.
1939
The spectral theorem. Zbl 0151.19702
Lorch, E. R.
1962
On a calculus of operators in reflexive vector spaces. Zbl 0020.30701
Lorch, Edgar R.
1939
Spectral theory. (University Texts in the Mathematical Sciences). Zbl 0105.09204
Lorch, Edgar Raymond
1962
Means of iterated transformations in reflexive vector spaces. Zbl 0022.36101
Lorch, Edgar R.
1939
The integral representation of weakly almost-periodic transformations in reflexive vector spaces. Zbl 0025.26705
Lorch, Edgar R.
1941
Compactification, Baire functions, and Daniell integration. Zbl 0117.09303
Lorch, E. R.
1963
The integral representation of weakly almost-periodic transformations in reflexive vector spaces. JFM 67.0415.01
Lorch, E. R.
1941
A curvature study of convex bodies in Banach spaces. Zbl 0051.33801
Lorch, E. R.
1953
The spectrum of linear transformations. Zbl 0060.27203
Lorch, Edgar R.
1942
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
1975
The Cauchy-Schwarz inequality and self-adjoint spaces. Zbl 0060.26301
Lorch, Edgar R.
1945
The structure of normed Abelian rings. Zbl 0060.27201
Lorch, Edgar R.
1944
Riemann metrics associated with convex bodies and normed spaces. Zbl 0073.16904
Laugwitz, Detlef; Lorch, Edgar R.
1956
On a calculus of operators in reflexive vector spaces. JFM 65.0511.04
Lorch, E. R.
1939
On some properties of the metric subalgebras of $$l^\infty$$. Zbl 0471.46031
Lorch, Edgar R.
1981
Means of iterated transformations in reflexive vector spaces. JFM 65.0514.02
Lorch, E. R.
1939
Differentiable inequalities and the theory of convex bodies. Zbl 0043.37604
Lorch, E. R.
1951
The projection of a linear functional on the manifold of integrals. Zbl 0080.32203
Gordon, H.; Lorch, E. R.
1957
On the automorphisms of certain groups of permutations. Zbl 0297.20047
Lorch, E. R.; Tong, Hing
1974
Bicontinuous linear transformations in certain vector spaces. JFM 65.0514.01
Lorch, E. R.
1939
Lorch, E. R.
1950
Convexity and normed spaces. Zbl 0047.10603
Lorch, E. R.
1952
L’intégration dans les espaces généraux. Zbl 0094.09103
Lorch, Edgar R.
1960
Certain compact spaces and their homeomorphism groups. Zbl 0582.54024
Lorch, Edgar R.
1982
On the isomorphisms of certain groups of permutations of the integers. Zbl 0494.20001
Lorch, Edgar R.
1983
Problems in the classification of certain compact spaces. Zbl 0538.54014
Lorch, Edgar R.
1983
Continuity and Baire functions. Zbl 0234.26002
Lorch, E. R.
1971
L’integrazione e gli ideali massimi. Zbl 0057.33901
Lorch, Edgar R.
1954
On the volume of smooth convex bodies in Hilbert space. Zbl 0064.10602
Lorch, E. R.
1955
Normed rings - the first decade. Zbl 0066.36102
Lorch, E. R.
1955
The spectral theorem and classical analysis. Zbl 0066.36303
Lorch, E. R.
1955
L’integrazione ed i funzionali lineari. Zbl 0073.08803
Lorch, Edgar R.
1956
Sugli integrali invarianti in spazi generali. Zbl 0104.33803
Lorch, Edgar R.
1960
Continuity of Baire functions and order of Baire sets. Zbl 0148.37405
Lorch, E. R.; Tong, H.
1967
The integral representation of unbounded self-adjoint transformations in Hilbert space. Zbl 0013.40504
Riesz, Frederick; Lorch, E. R.
1936
On the isomorphisms of certain groups of permutations of the integers. Zbl 0494.20001
Lorch, Edgar R.
1983
Problems in the classification of certain compact spaces. Zbl 0538.54014
Lorch, Edgar R.
1983
Certain compact spaces and their homeomorphism groups. Zbl 0582.54024
Lorch, Edgar R.
1982
On some properties of the metric subalgebras of $$l^\infty$$. Zbl 0471.46031
Lorch, Edgar R.
1981
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
1975
On the automorphisms of certain groups of permutations. Zbl 0297.20047
Lorch, E. R.; Tong, Hing
1974
Continuity and Baire functions. Zbl 0234.26002
Lorch, E. R.
1971
Continuity of Baire functions and order of Baire sets. Zbl 0148.37405
Lorch, E. R.; Tong, H.
1967
Compactification, Baire functions, and Daniell integration. Zbl 0117.09303
Lorch, E. R.
1963
The spectral theorem. Zbl 0151.19702
Lorch, E. R.
1962
Spectral theory. (University Texts in the Mathematical Sciences). Zbl 0105.09204
Lorch, Edgar Raymond
1962
L’intégration dans les espaces généraux. Zbl 0094.09103
Lorch, Edgar R.
1960
Sugli integrali invarianti in spazi generali. Zbl 0104.33803
Lorch, Edgar R.
1960
The projection of a linear functional on the manifold of integrals. Zbl 0080.32203
Gordon, H.; Lorch, E. R.
1957
Riemann metrics associated with convex bodies and normed spaces. Zbl 0073.16904
Laugwitz, Detlef; Lorch, Edgar R.
1956
L’integrazione ed i funzionali lineari. Zbl 0073.08803
Lorch, Edgar R.
1956
On the volume of smooth convex bodies in Hilbert space. Zbl 0064.10602
Lorch, E. R.
1955
Normed rings - the first decade. Zbl 0066.36102
Lorch, E. R.
1955
The spectral theorem and classical analysis. Zbl 0066.36303
Lorch, E. R.
1955
L’integrazione e gli ideali massimi. Zbl 0057.33901
Lorch, Edgar R.
1954
A curvature study of convex bodies in Banach spaces. Zbl 0051.33801
Lorch, E. R.
1953
Convexity and normed spaces. Zbl 0047.10603
Lorch, E. R.
1952
Differentiable inequalities and the theory of convex bodies. Zbl 0043.37604
Lorch, E. R.
1951
Lorch, E. R.
1950
On certain implications which characterize Hilbert space. Zbl 0031.21901
Lorch, E. R.
1948
The Cauchy-Schwarz inequality and self-adjoint spaces. Zbl 0060.26301
Lorch, Edgar R.
1945
The structure of normed Abelian rings. Zbl 0060.27201
Lorch, Edgar R.
1944
The theory of analytic functions in normed Abelian vector rings. Zbl 0060.27202
Lorch, Edgar R.
1943
The spectrum of linear transformations. Zbl 0060.27203
Lorch, Edgar R.
1942
The integral representation of weakly almost-periodic transformations in reflexive vector spaces. Zbl 0025.26705
Lorch, Edgar R.
1941
The integral representation of weakly almost-periodic transformations in reflexive vector spaces. JFM 67.0415.01
Lorch, E. R.
1941
Bicontinuous linear transformations in certain vector spaces. Zbl 0022.05302
Lorch, E. R.
1939
On a calculus of operators in reflexive vector spaces. Zbl 0020.30701
Lorch, Edgar R.
1939
Means of iterated transformations in reflexive vector spaces. Zbl 0022.36101
Lorch, Edgar R.
1939
On a calculus of operators in reflexive vector spaces. JFM 65.0511.04
Lorch, E. R.
1939
Means of iterated transformations in reflexive vector spaces. JFM 65.0514.02
Lorch, E. R.
1939
Bicontinuous linear transformations in certain vector spaces. JFM 65.0514.01
Lorch, E. R.
1939
The integral representation of unbounded self-adjoint transformations in Hilbert space. Zbl 0013.40504
Riesz, Frederick; Lorch, E. R.
1936
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### Cited in 82 Serials

 15 Transactions of the American Mathematical Society 13 Proceedings of the American Mathematical Society 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Mathematische Annalen 7 Journal of Mathematical Analysis and Applications 7 Mathematische Zeitschrift 6 Archiv der Mathematik 5 Siberian Mathematical Journal 5 Bulletin of the American Mathematical Society 4 Journal of Functional Analysis 4 Aequationes Mathematicae 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Journal of Differential Equations 3 Pacific Journal of Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 Journal of Mathematical Sciences (New York) 2 Israel Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Acta Mathematica 2 Bulletin de la Société Mathématique de France 2 Journal of Soviet Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Rendiconti del Seminario Matematico della Università di Padova 2 Theoretical Computer Science 2 Linear Algebra and its Applications 2 Differential Equations 2 Journal of the Australian Mathematical Society 2 Mediterranean Journal of Mathematics 2 Bulletin of Mathematical Sciences 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Geometry 1 Mathematische Nachrichten 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 MCSS. Mathematics of Control, Signals, and Systems 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal de Théorie des Nombres de Bordeaux 1 Advances in Applied Clifford Algebras 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Positivity 1 Mathematical Inequalities & Applications 1 Journal of Applied Mathematics 1 Stochastic Models 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Applicable Analysis and Discrete Mathematics 1 Tbilisi Mathematical Journal 1 Acta Universitatis Sapientiae. Mathematica 1 Science China. Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Eurasian Mathematical Journal 1 Journal of Function Spaces 1 Complex Manifolds 1 Advances in Operator Theory
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### Cited in 37 Fields

 69 Functional analysis (46-XX) 42 Operator theory (47-XX) 14 Functions of a complex variable (30-XX) 11 Ordinary differential equations (34-XX) 9 Real functions (26-XX) 9 General topology (54-XX) 7 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 Mathematical logic and foundations (03-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX)

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