Edit Profile (opens in new tab) Lorch, Edgar Raymond Co-Author Distance 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 all top 5 Co-Authors 48 single-authored 11 Tong, Hing 3 Riesz, Frigyes 1 Aczél, János Dezső 1 Butzer, Paul Leo 1 Elliott, Joanne 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 Taam, Choy-Tak 1 Tandori, Károly 1 Widder, David Vernon 1 Yosida, Kosaku 1 Zaanen, Adriaan Cornelis all top 5 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 3 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 all top 5 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 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 251 times in 212 Documents Cited by ▼ Year ▼ The theory of analytic functions in normed Abelian vector rings. Zbl 0060.27202 Lorch, Edgar R. 38 1943 On certain implications which characterize Hilbert space. Zbl 0031.21901 Lorch, E. R. 27 1948 Bicontinuous linear transformations in certain vector spaces. Zbl 0022.05302 Lorch, E. R. 26 1939 The spectral theorem. Zbl 0151.19702 Lorch, E. R. 16 1962 Spectral theory. (University Texts in the Mathematical Sciences). Zbl 0105.09204 Lorch, Edgar Raymond 14 1962 On a calculus of operators in reflexive vector spaces. Zbl 0020.30701 Lorch, Edgar R. 12 1939 Means of iterated transformations in reflexive vector spaces. Zbl 0022.36101 Lorch, Edgar R. 10 1939 Compactification, Baire functions, and Daniell integration. Zbl 0117.09303 Lorch, E. R. 9 1963 The integral representation of weakly almost-periodic transformations in reflexive vector spaces. Zbl 0025.26705 Lorch, Edgar R. 9 1941 The integral representation of weakly almost-periodic transformations in reflexive vector spaces. JFM 67.0415.01 Lorch, E. R. 8 1941 The spectrum of linear transformations. Zbl 0060.27203 Lorch, Edgar R. 8 1942 A curvature study of convex bodies in Banach spaces. Zbl 0051.33801 Lorch, E. R. 8 1953 Riemann metrics associated with convex bodies and normed spaces. Zbl 0073.16904 Laugwitz, Detlef; Lorch, Edgar R. 6 1956 On some properties of the metric subalgebras of \(l^\infty\). Zbl 0471.46031 Lorch, Edgar R. 5 1981 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002 Hille, Einar 5 1975 On a calculus of operators in reflexive vector spaces. JFM 65.0511.04 Lorch, E. R. 5 1939 Means of iterated transformations in reflexive vector spaces. JFM 65.0514.02 Lorch, E. R. 5 1939 The Cauchy-Schwarz inequality and self-adjoint spaces. Zbl 0060.26301 Lorch, Edgar R. 5 1945 The structure of normed Abelian rings. Zbl 0060.27201 Lorch, Edgar R. 5 1944 Continuity and Baire functions. Zbl 0234.26002 Lorch, E. R. 3 1971 The projection of a linear functional on the manifold of integrals. Zbl 0080.32203 Gordon, H.; Lorch, E. R. 3 1957 Differentiable inequalities and the theory of convex bodies. Zbl 0043.37604 Lorch, E. R. 3 1951 On the automorphisms of certain groups of permutations. Zbl 0297.20047 Lorch, E. R.; Tong, Hing 2 1974 Bicontinuous linear transformations in certain vector spaces. JFM 65.0514.01 Lorch, E. R. 2 1939 Return to the self-adjoint transformation. Zbl 0035.35902 Lorch, E. R. 2 1950 L’intégration dans les espaces généraux. Zbl 0094.09103 Lorch, Edgar R. 2 1960 Convexity and normed spaces. Zbl 0047.10603 Lorch, E. R. 2 1952 Szeged in 1934. Zbl 0767.01032 Lorch, Edgar R. 1 1993 On the isomorphisms of certain groups of permutations of the integers. Zbl 0494.20001 Lorch, Edgar R. 1 1983 Problems in the classification of certain compact spaces. Zbl 0538.54014 Lorch, Edgar R. 1 1983 Certain compact spaces and their homeomorphism groups. Zbl 0582.54024 Lorch, Edgar R. 1 1982 Elementary transformations. JFM 58.0373.01 Lorch, E. R. 1 1932 Continuity of Baire functions and order of Baire sets. Zbl 0148.37405 Lorch, E. R.; Tong, H. 1 1967 Normed rings - the first decade. Zbl 0066.36102 Lorch, E. R. 1 1955 The spectral theorem and classical analysis. Zbl 0066.36303 Lorch, E. R. 1 1955 L’integrazione ed i funzionali lineari. Zbl 0073.08803 Lorch, Edgar R. 1 1956 L’integrazione e gli ideali massimi. Zbl 0057.33901 Lorch, Edgar R. 1 1954 On the volume of smooth convex bodies in Hilbert space. Zbl 0064.10602 Lorch, E. R. 1 1955 Sugli integrali invarianti in spazi generali. Zbl 0104.33803 Lorch, Edgar R. 1 1960 The integral representation of unbounded self-adjoint transformations in Hilbert space. Zbl 0013.40504 Riesz, Frederick; Lorch, E. R. 1 1936 Szeged in 1934. Zbl 0767.01032 Lorch, Edgar R. 1 1993 On the isomorphisms of certain groups of permutations of the integers. Zbl 0494.20001 Lorch, Edgar R. 1 1983 Problems in the classification of certain compact spaces. Zbl 0538.54014 Lorch, Edgar R. 1 1983 Certain compact spaces and their homeomorphism groups. Zbl 0582.54024 Lorch, Edgar R. 1 1982 On some properties of the metric subalgebras of \(l^\infty\). Zbl 0471.46031 Lorch, Edgar R. 5 1981 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002 Hille, Einar 5 1975 On the automorphisms of certain groups of permutations. Zbl 0297.20047 Lorch, E. R.; Tong, Hing 2 1974 Continuity and Baire functions. Zbl 0234.26002 Lorch, E. R. 3 1971 Continuity of Baire functions and order of Baire sets. Zbl 0148.37405 Lorch, E. R.; Tong, H. 1 1967 Compactification, Baire functions, and Daniell integration. Zbl 0117.09303 Lorch, E. R. 9 1963 The spectral theorem. Zbl 0151.19702 Lorch, E. R. 16 1962 Spectral theory. (University Texts in the Mathematical Sciences). Zbl 0105.09204 Lorch, Edgar Raymond 14 1962 L’intégration dans les espaces généraux. Zbl 0094.09103 Lorch, Edgar R. 2 1960 Sugli integrali invarianti in spazi generali. Zbl 0104.33803 Lorch, Edgar R. 1 1960 The projection of a linear functional on the manifold of integrals. Zbl 0080.32203 Gordon, H.; Lorch, E. R. 3 1957 Riemann metrics associated with convex bodies and normed spaces. Zbl 0073.16904 Laugwitz, Detlef; Lorch, Edgar R. 6 1956 L’integrazione ed i funzionali lineari. Zbl 0073.08803 Lorch, Edgar R. 1 1956 Normed rings - the first decade. Zbl 0066.36102 Lorch, E. R. 1 1955 The spectral theorem and classical analysis. Zbl 0066.36303 Lorch, E. R. 1 1955 On the volume of smooth convex bodies in Hilbert space. Zbl 0064.10602 Lorch, E. R. 1 1955 L’integrazione e gli ideali massimi. Zbl 0057.33901 Lorch, Edgar R. 1 1954 A curvature study of convex bodies in Banach spaces. Zbl 0051.33801 Lorch, E. R. 8 1953 Convexity and normed spaces. Zbl 0047.10603 Lorch, E. R. 2 1952 Differentiable inequalities and the theory of convex bodies. Zbl 0043.37604 Lorch, E. R. 3 1951 Return to the self-adjoint transformation. Zbl 0035.35902 Lorch, E. R. 2 1950 On certain implications which characterize Hilbert space. Zbl 0031.21901 Lorch, E. R. 27 1948 The Cauchy-Schwarz inequality and self-adjoint spaces. Zbl 0060.26301 Lorch, Edgar R. 5 1945 The structure of normed Abelian rings. Zbl 0060.27201 Lorch, Edgar R. 5 1944 The theory of analytic functions in normed Abelian vector rings. Zbl 0060.27202 Lorch, Edgar R. 38 1943 The spectrum of linear transformations. Zbl 0060.27203 Lorch, Edgar R. 8 1942 The integral representation of weakly almost-periodic transformations in reflexive vector spaces. Zbl 0025.26705 Lorch, Edgar R. 9 1941 The integral representation of weakly almost-periodic transformations in reflexive vector spaces. JFM 67.0415.01 Lorch, E. R. 8 1941 Bicontinuous linear transformations in certain vector spaces. Zbl 0022.05302 Lorch, E. R. 26 1939 On a calculus of operators in reflexive vector spaces. Zbl 0020.30701 Lorch, Edgar R. 12 1939 Means of iterated transformations in reflexive vector spaces. Zbl 0022.36101 Lorch, Edgar R. 10 1939 On a calculus of operators in reflexive vector spaces. JFM 65.0511.04 Lorch, E. R. 5 1939 Means of iterated transformations in reflexive vector spaces. JFM 65.0514.02 Lorch, E. R. 5 1939 Bicontinuous linear transformations in certain vector spaces. JFM 65.0514.01 Lorch, E. R. 2 1939 The integral representation of unbounded self-adjoint transformations in Hilbert space. Zbl 0013.40504 Riesz, Frederick; Lorch, E. R. 1 1936 Elementary transformations. JFM 58.0373.01 Lorch, E. R. 1 1932 all cited Publications top 5 cited Publications all top 5 Cited by 230 Authors 6 Shpakivskyi, Vitalii Stanislavovich 5 Laugwitz, Detlef 5 López-González, Elifalet 5 Plaksa, Sergiy Anatoliyovych 4 Albanese, Angela Anna 4 Dragomir, Sever Silvestru 4 Frías-Armenta, Martín Eduardo 4 Krabbe, Gregers L. 4 Lorch, Edgar Raymond 4 Moslehian, Mohammad Sal 4 Ricker, Werner Joseph 3 Bonet Solves, José 3 Glickfeld, B. W. 3 Moraes, Luiza Amalia 3 Nikol’skiĭ, Nikolaĭ Kapitonovich 3 Vallée, Brigitte 3 Wu, Senlin 2 Alonso, Javier 2 Braverman, Michael Sh. 2 Favini, Angelo 2 Gardner, L. Terrell 2 Gordon, Hugh 2 He, Chan 2 Jacobs, Konrad 2 Jordá, Enrique 2 Krnić, Mario 2 Lourenço, Mary Lilian 2 Martini, Horst 2 Mauro, Guilherme V. S. 2 Minculete, Nicusor 2 Mussirepova, Elmira 2 Okayasu, Takateru 2 Pereira, Alex F. 2 Plans, Antonio 2 Rooin, Jamal 2 Sarsenbi, Abdissalam A. 2 Sarsenbi, Abdizhahan Manapovich 2 Simon, Barry 2 Stampfli, Joseph Gail 2 Turner, Robert E. L. 2 Vejnar, Benjamin 2 Vieira, Daniela M. 1 Abdullayeva, Afsana M. 1 Aerts, Diederik Emiel 1 Akin, Ethan 1 Alcorta García, Maria Aracelia 1 Alvarez-Parrilla, Alvaro 1 Amini-Harandi, Alireza 1 Amir, Dan 1 Andalafte, Edward Z. 1 Arambašić, Ljiljana 1 Arsove, Maynard G. 1 Asensio, Vicente 1 Astashkin, Sergeĭ Vladimir 1 Avila, Julio Cesar 1 Bade, William George 1 Bala, Neeru 1 Bao, Wendi 1 Barry, John V. 1 Bartle, Robert G. 1 Baskakov, Anatoliĭ Grigor’evich 1 Benzinger, Harold E. 1 Berberian, Sterling K. 1 Beurling, Arne 1 Bishop, Errett 1 Blum, Edward Kenneth 1 Bogachev, Vladimir Igorevich 1 Bompiani, Enrico 1 Brandstatter, J. J. 1 Broer, Henk W. 1 Bruin, Henk 1 Buksaeva, L. Z. 1 Chalov, P. A. 1 Chatterjee, Rupak 1 Cichoń, Dariusz 1 Çömez, Doḡan 1 Conde, Cristian M. 1 Cristinel, Mortici 1 Cupiał, Piotr 1 Cuttle, P. M. 1 Dadipour, Farzad 1 Dai, Taen-Yu 1 Das, Anadijiban 1 Davis, William Jay 1 Dean, David W. 1 Dehghan, Hossein 1 Dentoni, Paolo 1 Deutsch, Frank 1 Dhombres, Jean G. 1 Dixmier, Jacques 1 Dragilev, Mikhail Mikhaĭlovich 1 Dudák, Jan 1 Dunford, Nelson 1 Erickson, M. A. 1 Fernández, Carmen 1 Feroe, John A. 1 Fitzpatrick, Patrick Michael 1 Flajolet, Philippe 1 Freese, Raymond W. 1 Gabriyelyan, Saak S. ...and 130 more Authors all top 5 Cited in 99 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 Journal of Functional Analysis 5 Siberian Mathematical Journal 5 Bulletin of the American Mathematical Society 4 Aequationes Mathematicae 4 Journal of Mathematical Sciences (New York) 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 Linear Algebra and its Applications 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 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 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 International Journal of Engineering Science 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 Journal of Multivariate Analysis 1 The Journal of Symbolic Logic 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal de Théorie des Nombres de Bordeaux 1 Electronic Journal of Differential Equations (EJDE) 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Boundary Value Problems 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Proceedings of the International Geometry Center 1 Annals of Functional Analysis 1 Eurasian Mathematical Journal 1 Computability 1 Journal of Function Spaces 1 European Journal of Mathematics 1 Complex Manifolds 1 Advances in Operator Theory 1 Results in Applied Mathematics 1 European Mathematical Society Magazine all top 5 Cited in 42 Fields 75 Functional analysis (46-XX) 49 Operator theory (47-XX) 20 Functions of a complex variable (30-XX) 14 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 11 Real functions (26-XX) 10 General topology (54-XX) 6 Mathematical logic and foundations (03-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-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 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.