Edit Profile (opens in new tab) Kakutani, Shizuo Compute Distance To: Compute Author ID: kakutani.shizuo Published as: Kakutani, Shizuo; Kakutani, S.; Kakutani, Skizuo more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Member of Collective: Schark, I. J. Documents Indexed: 128 Publications since 1935, including 1 Book Biographic References: 1 Publication Co-Authors: 23 Co-Authors with 42 Joint Publications 820 Co-Co-Authors all top 5 Co-Authors 85 single-authored 12 Yosida, Kosaku 6 Hajian, Arshag B. 5 Erdős, Pál 3 Dvoretzky, Aryeh 3 Ito, Yuji 3 Kodaira, Kunihiko 2 Ambrose, Warren Arthur 2 Halmos, Paul Richard 2 Hewitt, Edwin 2 Mackey, George Whitelaw 2 Mimura, Yukio 2 Shimizu, Tatsujiro 1 Anzai, Hirotada 1 Bohnenblust, H. Frederic 1 Choksi, J. R. 1 Eigen, Stanley J. 1 Kallman, Robert R. 1 Klee, Victor LaRue 1 Markus, Lawrence 1 Nakamura, Masahiro 1 Oxtoby, John C. 1 Parry, William 1 Petersen, Karl E. 1 Taylor, Samuel James all top 5 Serials 28 Proceedings of the Imperial Academy of Japan 14 Annals of Mathematics. Second Series 13 Proceedings of the Imperial Academy of Japan 12 Japanese Journal of Mathematics 8 Proceedings of the Physico-Mathematical Society of Japan 4 Duke Mathematical Journal 4 Bulletin of the American Mathematical Society 4 Tohoku Mathematical Journal 2 Advances in Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Japan Academy 2 Annals of Mathematics Studies 1 Israel Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Japanese Journal of Mathematics. New Series 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Osaka Mathematical Journal 1 Contemporary Mathematicians all top 5 Fields 16 Measure and integration (28-XX) 5 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 2,168 times in 1,925 Documents Cited by ▼ Year ▼ A generalization of Brouwer’s fixed point theorem. JFM 67.0742.03Kakutani, S. 194 1941 On equivalence of infinite product measures. Zbl 0030.02303Kakutani, Shizuo 177 1948 A generalization of Brouwer’s fixed point theorem. Zbl 0061.40304Kakutani, Shizuo 154 1941 Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.). Zbl 0060.26604Kakutani, Shizuo 146 1941 Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Zbl 0027.11102Kakutani, Shizuo 90 1941 Induced measure preserving transformations. Zbl 0060.27406Kakutani, Shizuo 72 1943 Weakly wandering sets and invariant measures. Zbl 0122.29804Hajian, A. B.; Kakutani, S. 64 1964 Two-dimensional Brownian motion and harmonic functions. Zbl 0063.03107Kakutani, Shizuo 61 1944 Structure and continuity of measurable flows. Zbl 0063.00065Ambrose, Warren; Kakutani, Shizuo 60 1942 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. JFM 67.0417.01Yosida, K.; Kakutani, S. 54 1941 Double points of paths of Brownian motion in \(n\)-space. Zbl 0036.09001Dvoretzky, A.; Erdős, Pál; Kakutani, S. 52 1950 On the non-linear difference-differential equation \(y'(t)=[A-B y (t- \tau)] y (t)\). Zbl 0082.30301Kakutani, S.; Markus, L. 47 1958 Über die Metrisation der topologischen Gruppen. JFM 62.1230.03Kakutani, S. 35 1936 Über die Metrisation der topologischen Gruppen. Zbl 0015.00701Kakutani, Shizuo 34 1936 Bohr compactifications of a locally compact Abelian group. Zbl 0063.00102Anzai, Hirotada; Kakutani, Shizuo 32 1943 Invariant measures and orbits of dissipative transformations. Zbl 0236.28010Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 31 1972 On Brownian motions in n-space. Zbl 0063.03106Kakutani, Shizuo 31 1944 Infinite measure preserving transformations with ’mixing’. Zbl 0126.31801Kakutani, S.; Parry, William 30 1963 Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305Kakutani, Shizuo; Mackey, George W. 29 1946 Triple points of Brownian paths in 3-space. Zbl 0208.44103Dvoretzky, A.; Erdős, Paul; Kakutani, S.; Taylor, S. J. 28 1957 Concrete representation of abstract (\(L\))-spaces and the mean ergodic theorem. JFM 67.0419.01Kakutani, S. 27 1941 Über das Haarsche Maß in der lokal bikompakten Gruppe. Zbl 0060.13501Kakutani, Shizuo; Kodaira, Kunihiko 27 1944 Two fixed-point theorems concerning bicompact convex sets. JFM 64.1101.03Kakutani, S. 25 1938 A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\). Zbl 0061.38309Kakutani, Shizuo 24 1942 Some characterizations of Euclidean space. JFM 65.0506.01Kakutani, S. 23 1939 Free topological groups and infinite direct product topological groups. Zbl 0063.03105Kakutani, Shizuo 22 1944 Products of symmetries. Zbl 0084.10602Halmos, Paul R.; Kakutani, Shizuo 22 1958 Some characterizations of Euclidean space. Zbl 0022.15001Kakutani, Shizuo 21 1939 Construction of a non-separable invariant extension of the Lebesgue measure space. Zbl 0040.20901Kakutani, Shizuo; Oxtoby, John C. 21 1950 On cardinal numbers related with a compact Abelian group. Zbl 0063.03104Kakutani, Shizuo 21 1943 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. Zbl 0024.32402Yosida, Kosaku; Kakutani, Skizuo 20 1941 Nonincrease everywhere of the Brownian motion process. Zbl 0111.15002Dvoretzky, A.; Erdős, Pál; Kakutani, S. 20 1961 Topological properties of the unit sphere of a Hilbert space. Zbl 0060.27701Kakutani, Shizuo 19 1943 A proof of Beboutov’s theorem. Zbl 0174.40101Kakutani, S. 19 1968 Notes on infinite product measure spaces. I, II. Zbl 0061.09701Kakutani, Shizuo 17 1943 Example of an ergodic measure preserving transformation on an infinite measure space. Zbl 0213.07601Hajian, A. B.; Kakutani, S. 16 1970 Ergodic theory of shift transformations. Zbl 0217.38004Kakutani, S. 16 1967 The speed of convergence in the ergodic theorem. Zbl 0446.28015Kakutani, Shizuo; Petersen, Karl 15 1981 Two fixed-point theorems concerning bicompact convex sets. Zbl 0020.07906Kakutani, Shizuo 15 1938 A non-separable translation invariant extension of the Lebesgue measure space. Zbl 0040.20804Kodaira, Kunihiko; Kakutani, Shizuo 15 1950 Random ergodic theorems and Markoff processes with a stable distribution. Zbl 0044.33901Kakutani, Shizuo 15 1951 Concrete representation of (M)-spaces. Zbl 0061.24209Bohnenblust, H. F.; Kakutani, S. 15 1941 On non-denumerable graphs. Zbl 0063.01275Erdős, Pál; Kakutani, S. 15 1943 The finite topology of a linear space. Zbl 0108.10701Kakutani, Shizuo; Klee, Victor 15 1963 Determination of the spectrum of the flow of Brownian motion. Zbl 0038.29105Kakutani, Shizuo 14 1950 An example concerning uniform boundedness of spectral measures. Zbl 0056.34702Kakutani, Shizuo 14 1954 Rings of analytic functions. Zbl 0067.05403Kakutani, Shizuo 14 1955 A problem of equidistribution on the unit interval \([0,1]\). Zbl 0363.60023Kakutani, Shizuo 13 1976 Weak convergence in uniformly convex spaces. JFM 64.0369.01Kakutani, S. 12 1938 Two characterizations of real Hilbert space. Zbl 0060.26304Kakutani, Shizuo; Mackey, George W. 12 1944 Spectral analysis of stationary Gaussian processes. Zbl 0129.30103Kakutani, S. 12 1961 Construction of a non-separable extension of the Lebesgue measure space. Zbl 0060.13110Kakutani, Shizuo 11 1944 Banach limits and the Cech compactification of a countable discrete set. Zbl 0063.05891Nakamura, Masahiro; Kakutani, S. 10 1943 A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group. Zbl 0100.11803Hewitt, Edwin; Kakutani, Shizuo 10 1960 Residuality of ergodic measurable transformations and of ergodic transformations which preserve an infinite measure. Zbl 0377.28012Choksi, J. R.; Kakutani, Shizuo 9 1979 Iteration of linear operations in complex Banach spaces. Zbl 0019.41602Kakutani, Shizuo 9 1938 Strictly ergodic symbolic dynamical systems. Zbl 0262.28014Kakutani, Shizuo 8 1972 Birkhoff’s ergodic theorem and the maximal ergodic theorem. Zbl 0021.41201Yosida, Kosaku; Kakutani, Shizuo 8 1939 The decomposition of measures. II. Zbl 0063.00066Ambrose, Warren; Halmos, Paul R.; Kakutani, S. 8 1942 Markoff process and the Dirichlet problem. Zbl 0063.03110Kakutani, Shizuo 8 1949 Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. Zbl 0267.28008Kakutani, Shizuo 7 1973 Full groups and a theorem of Dye. Zbl 0303.28017Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 7 1975 A proof of Schauder’s theorem. Zbl 0043.32901Kakutani, Shizuo 7 1951 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. Zbl 0017.02301Kakutani, Shizuo 6 1937 Weak topology and regularity of Banach spaces. Zbl 0022.05303Kakutani, Shizuo 5 1939 On a perfect set. Zbl 0077.27103Erdős, Pál; Kakutani, S. 5 1957 Orbits, sections, and induced transformations. Zbl 0297.28019Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 4 1974 Weak convergence in uniformly convex spaces. Zbl 0020.03201Kakutani, Shizuo 4 1938 Mean ergodic theorem in abstract \((L)\)-spaces. Zbl 0021.41304Kakutani, Shizuo 4 1939 Applications of the theory of pseudo-regular functions to the type- problem of Riemann surfaces. Zbl 0017.07402Kakutani, Shizuo 3 1937 On the uniqueness of Haar’s measure. Zbl 0019.29704Kakutani, Shizuo 3 1938 Integral operator with bounded kernel. JFM 64.1114.01Yosida, K.; Mimura, Y.; Kakutani, S. 3 1938 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. JFM 63.1005.04Kakutani, S. 3 1937 Ergodic theorems and the Markoff process with a stable distribution. Zbl 0023.14503Kakutani, Shizuo 3 1940 Markoff process with an enumerable infinite number of possible states. Zbl 0022.05806Yosida, Kosaku; Kakutani, Shizuo 3 1939 Random walk and the type problem of Riemann surfaces. Zbl 0053.05104Kakutani, Shizuo 3 1953 Some multiplicative linear functionals on \(M(G)\). Zbl 0123.10104Hewitt, Edwin; Kakutani, Shizuo 3 1964 Complementing sets of integers - a result from ergodic theory. Zbl 0756.11003Eigen, Stanley; Hajian, Arshag; Kakutani, Shizuo 2 1992 Einführung einer Metrik auf die Riemannsche Fläche und der Typus der Riemannschen Fläche. Zbl 0017.07401Kakutani, Shizuo 2 1937 Weak topology, bicompact set and the principle of duality. JFM 66.0530.02Kakutani, S. 2 1940 Simultaneous extension of continuous functions considered as a positive linear operation. JFM 66.0535.01Kakutani, S. 2 1940 Iteration of linear operations in complex Banach spaces. JFM 64.1104.02Kakutani, S. 2 1938 Application of mean ergodic theorem to the problems of Markoff’s process. JFM 64.1104.03Yosida, K.; Kakutani, S. 2 1938 Applications of the theory of pseudo-regular functions to the type-problem of Riemann surfaces. JFM 63.0303.01Kakutani, S. 2 1937 Notes on divergent series and integrals. Zbl 0061.10002Kakutani, Shizuo 2 1944 Two-dimensional Brownian motion and the type problem of Riemann surfaces. Zbl 0063.03108Kakutani, Shizuo 2 1949 Normed rings of a locally compact Abelian group. Zbl 0063.03284Kodaira, Kunihiko; Kakutani, Shizuo 2 1943 On rings of bounded analytic functions. Zbl 0098.05004Kakutani, Shizuo 2 1958 On meromorphic functions. I. Zbl 0010.40502Shimizu, Tatsujirô; Yosida, Kôsaku; Kakutani, Shizuo 1 1935 On the exceptional value of meromorphic functions. Zbl 0012.08004Kakutani, Shizuo 1 1935 On the family of pseudo-regular functions. Zbl 0018.26206Kakutani, Shizuo 1 1937 Integral operator with bounded kernel. Zbl 0020.30602Yosida, Kosaku; Mimura, Yukio; Kakutani, Shizuo 1 1938 Ergodic theorems and the Markoff process with a stable distribution. JFM 66.0622.03Kakutani, S. 1 1940 Mean ergodic theorem in abstract \((L)\)-spaces. JFM 65.0516.03Kakutani, S. 1 1939 Markoff process with an enumerable infinite number of possible states. JFM 65.0577.03Yosida, K.; Kakutani, S. 1 1939 On the family of pseudoregular functions. JFM 63.0295.01Kakutani, S. 1 1937 On the family of pseudo-regular functions. JFM 63.0984.01Kakutani, S. 1 1938 Weak topology, bicompact set and the principle of duality. Zbl 0023.13001Kakutani, Shizuo 1 1940 Simultaneous extension of continuous functions considered as a positive linear operation. Zbl 0023.39603Kakutani, Shizuo 1 1940 Selected papers. Volumes 1, 2. Ed. by Robert R. Kallman. Zbl 0609.01049Kakutani, Shizuo 1 1986 Complementing sets of integers - a result from ergodic theory. Zbl 0756.11003Eigen, Stanley; Hajian, Arshag; Kakutani, Shizuo 2 1992 Selected papers. Volumes 1, 2. Ed. by Robert R. Kallman. Zbl 0609.01049Kakutani, Shizuo 1 1986 The speed of convergence in the ergodic theorem. Zbl 0446.28015Kakutani, Shizuo; Petersen, Karl 15 1981 Residuality of ergodic measurable transformations and of ergodic transformations which preserve an infinite measure. Zbl 0377.28012Choksi, J. R.; Kakutani, Shizuo 9 1979 A problem of equidistribution on the unit interval \([0,1]\). Zbl 0363.60023Kakutani, Shizuo 13 1976 Full groups and a theorem of Dye. Zbl 0303.28017Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 7 1975 Orbits, sections, and induced transformations. Zbl 0297.28019Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 4 1974 Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. Zbl 0267.28008Kakutani, Shizuo 7 1973 Invariant measures and orbits of dissipative transformations. Zbl 0236.28010Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 31 1972 Strictly ergodic symbolic dynamical systems. Zbl 0262.28014Kakutani, Shizuo 8 1972 Example of an ergodic measure preserving transformation on an infinite measure space. Zbl 0213.07601Hajian, A. B.; Kakutani, S. 16 1970 A proof of Beboutov’s theorem. Zbl 0174.40101Kakutani, S. 19 1968 Ergodic theory of shift transformations. Zbl 0217.38004Kakutani, S. 16 1967 Weakly wandering sets and invariant measures. Zbl 0122.29804Hajian, A. B.; Kakutani, S. 64 1964 Some multiplicative linear functionals on \(M(G)\). Zbl 0123.10104Hewitt, Edwin; Kakutani, Shizuo 3 1964 Infinite measure preserving transformations with ’mixing’. Zbl 0126.31801Kakutani, S.; Parry, William 30 1963 The finite topology of a linear space. Zbl 0108.10701Kakutani, Shizuo; Klee, Victor 15 1963 Nonincrease everywhere of the Brownian motion process. Zbl 0111.15002Dvoretzky, A.; Erdős, Pál; Kakutani, S. 20 1961 Spectral analysis of stationary Gaussian processes. Zbl 0129.30103Kakutani, S. 12 1961 A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group. Zbl 0100.11803Hewitt, Edwin; Kakutani, Shizuo 10 1960 On the non-linear difference-differential equation \(y'(t)=[A-B y (t- \tau)] y (t)\). Zbl 0082.30301Kakutani, S.; Markus, L. 47 1958 Products of symmetries. Zbl 0084.10602Halmos, Paul R.; Kakutani, Shizuo 22 1958 On rings of bounded analytic functions. Zbl 0098.05004Kakutani, Shizuo 2 1958 Triple points of Brownian paths in 3-space. Zbl 0208.44103Dvoretzky, A.; Erdős, Paul; Kakutani, S.; Taylor, S. J. 28 1957 On a perfect set. Zbl 0077.27103Erdős, Pál; Kakutani, S. 5 1957 Rings of analytic functions. Zbl 0067.05403Kakutani, Shizuo 14 1955 An example concerning uniform boundedness of spectral measures. Zbl 0056.34702Kakutani, Shizuo 14 1954 Random walk and the type problem of Riemann surfaces. Zbl 0053.05104Kakutani, Shizuo 3 1953 Quadratic diameter of a metric space and its application to a problem in analysis. Zbl 0047.10902Kakutani, Shizuo 1 1952 Ergodic theory. Zbl 0049.08603Kakutani, Shizuo 1 1952 Random ergodic theorems and Markoff processes with a stable distribution. Zbl 0044.33901Kakutani, Shizuo 15 1951 A proof of Schauder’s theorem. Zbl 0043.32901Kakutani, Shizuo 7 1951 Double points of paths of Brownian motion in \(n\)-space. Zbl 0036.09001Dvoretzky, A.; Erdős, Pál; Kakutani, S. 52 1950 Construction of a non-separable invariant extension of the Lebesgue measure space. Zbl 0040.20901Kakutani, Shizuo; Oxtoby, John C. 21 1950 A non-separable translation invariant extension of the Lebesgue measure space. Zbl 0040.20804Kodaira, Kunihiko; Kakutani, Shizuo 15 1950 Determination of the spectrum of the flow of Brownian motion. Zbl 0038.29105Kakutani, Shizuo 14 1950 Markoff process and the Dirichlet problem. Zbl 0063.03110Kakutani, Shizuo 8 1949 Two-dimensional Brownian motion and the type problem of Riemann surfaces. Zbl 0063.03108Kakutani, Shizuo 2 1949 On equivalence of infinite product measures. Zbl 0030.02303Kakutani, Shizuo 177 1948 Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305Kakutani, Shizuo; Mackey, George W. 29 1946 Two-dimensional Brownian motion and harmonic functions. Zbl 0063.03107Kakutani, Shizuo 61 1944 On Brownian motions in n-space. Zbl 0063.03106Kakutani, Shizuo 31 1944 Über das Haarsche Maß in der lokal bikompakten Gruppe. Zbl 0060.13501Kakutani, Shizuo; Kodaira, Kunihiko 27 1944 Free topological groups and infinite direct product topological groups. Zbl 0063.03105Kakutani, Shizuo 22 1944 Two characterizations of real Hilbert space. Zbl 0060.26304Kakutani, Shizuo; Mackey, George W. 12 1944 Construction of a non-separable extension of the Lebesgue measure space. Zbl 0060.13110Kakutani, Shizuo 11 1944 Notes on divergent series and integrals. Zbl 0061.10002Kakutani, Shizuo 2 1944 Induced measure preserving transformations. Zbl 0060.27406Kakutani, Shizuo 72 1943 Bohr compactifications of a locally compact Abelian group. Zbl 0063.00102Anzai, Hirotada; Kakutani, Shizuo 32 1943 On cardinal numbers related with a compact Abelian group. Zbl 0063.03104Kakutani, Shizuo 21 1943 Topological properties of the unit sphere of a Hilbert space. Zbl 0060.27701Kakutani, Shizuo 19 1943 Notes on infinite product measure spaces. I, II. Zbl 0061.09701Kakutani, Shizuo 17 1943 On non-denumerable graphs. Zbl 0063.01275Erdős, Pál; Kakutani, S. 15 1943 Banach limits and the Cech compactification of a countable discrete set. Zbl 0063.05891Nakamura, Masahiro; Kakutani, S. 10 1943 Normed rings of a locally compact Abelian group. Zbl 0063.03284Kodaira, Kunihiko; Kakutani, Shizuo 2 1943 Structure and continuity of measurable flows. Zbl 0063.00065Ambrose, Warren; Kakutani, Shizuo 60 1942 A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\). Zbl 0061.38309Kakutani, Shizuo 24 1942 The decomposition of measures. II. Zbl 0063.00066Ambrose, Warren; Halmos, Paul R.; Kakutani, S. 8 1942 Representation of measurable flows in Euclidean 3-space. Zbl 0063.03103Kakutani, S. 1 1942 A generalization of Brouwer’s fixed point theorem. JFM 67.0742.03Kakutani, S. 194 1941 A generalization of Brouwer’s fixed point theorem. Zbl 0061.40304Kakutani, Shizuo 154 1941 Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.). Zbl 0060.26604Kakutani, Shizuo 146 1941 Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Zbl 0027.11102Kakutani, Shizuo 90 1941 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. JFM 67.0417.01Yosida, K.; Kakutani, S. 54 1941 Concrete representation of abstract (\(L\))-spaces and the mean ergodic theorem. JFM 67.0419.01Kakutani, S. 27 1941 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. Zbl 0024.32402Yosida, Kosaku; Kakutani, Skizuo 20 1941 Concrete representation of (M)-spaces. Zbl 0061.24209Bohnenblust, H. F.; Kakutani, S. 15 1941 Ergodic theorems and the Markoff process with a stable distribution. Zbl 0023.14503Kakutani, Shizuo 3 1940 Weak topology, bicompact set and the principle of duality. JFM 66.0530.02Kakutani, S. 2 1940 Simultaneous extension of continuous functions considered as a positive linear operation. JFM 66.0535.01Kakutani, S. 2 1940 Ergodic theorems and the Markoff process with a stable distribution. JFM 66.0622.03Kakutani, S. 1 1940 Weak topology, bicompact set and the principle of duality. Zbl 0023.13001Kakutani, Shizuo 1 1940 Simultaneous extension of continuous functions considered as a positive linear operation. Zbl 0023.39603Kakutani, Shizuo 1 1940 Some characterizations of Euclidean space. JFM 65.0506.01Kakutani, S. 23 1939 Some characterizations of Euclidean space. Zbl 0022.15001Kakutani, Shizuo 21 1939 Birkhoff’s ergodic theorem and the maximal ergodic theorem. Zbl 0021.41201Yosida, Kosaku; Kakutani, Shizuo 8 1939 Weak topology and regularity of Banach spaces. Zbl 0022.05303Kakutani, Shizuo 5 1939 Mean ergodic theorem in abstract \((L)\)-spaces. Zbl 0021.41304Kakutani, Shizuo 4 1939 Markoff process with an enumerable infinite number of possible states. Zbl 0022.05806Yosida, Kosaku; Kakutani, Shizuo 3 1939 Mean ergodic theorem in abstract \((L)\)-spaces. JFM 65.0516.03Kakutani, S. 1 1939 Markoff process with an enumerable infinite number of possible states. JFM 65.0577.03Yosida, K.; Kakutani, S. 1 1939 Two fixed-point theorems concerning bicompact convex sets. JFM 64.1101.03Kakutani, S. 25 1938 Two fixed-point theorems concerning bicompact convex sets. Zbl 0020.07906Kakutani, Shizuo 15 1938 Weak convergence in uniformly convex spaces. JFM 64.0369.01Kakutani, S. 12 1938 Iteration of linear operations in complex Banach spaces. Zbl 0019.41602Kakutani, Shizuo 9 1938 Weak convergence in uniformly convex spaces. Zbl 0020.03201Kakutani, Shizuo 4 1938 On the uniqueness of Haar’s measure. Zbl 0019.29704Kakutani, Shizuo 3 1938 Integral operator with bounded kernel. JFM 64.1114.01Yosida, K.; Mimura, Y.; Kakutani, S. 3 1938 Iteration of linear operations in complex Banach spaces. JFM 64.1104.02Kakutani, S. 2 1938 Application of mean ergodic theorem to the problems of Markoff’s process. JFM 64.1104.03Yosida, K.; Kakutani, S. 2 1938 Integral operator with bounded kernel. Zbl 0020.30602Yosida, Kosaku; Mimura, Yukio; Kakutani, Shizuo 1 1938 On the family of pseudo-regular functions. JFM 63.0984.01Kakutani, S. 1 1938 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. Zbl 0017.02301Kakutani, Shizuo 6 1937 Applications of the theory of pseudo-regular functions to the type- problem of Riemann surfaces. Zbl 0017.07402Kakutani, Shizuo 3 1937 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. JFM 63.1005.04Kakutani, S. 3 1937 Einführung einer Metrik auf die Riemannsche Fläche und der Typus der Riemannschen Fläche. Zbl 0017.07401Kakutani, Shizuo 2 1937 Applications of the theory of pseudo-regular functions to the type-problem of Riemann surfaces. JFM 63.0303.01Kakutani, S. 2 1937 On the family of pseudo-regular functions. Zbl 0018.26206Kakutani, Shizuo 1 1937 On the family of pseudoregular functions. JFM 63.0295.01Kakutani, S. 1 1937 Über die Metrisation der topologischen Gruppen. JFM 62.1230.03Kakutani, S. 35 1936 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,209 Authors 22 Aaronson, Jon 17 Jørgensen, Palle E. T. 11 Danilenko, Alexandre I. 11 Kashchenko, Sergeĭ Aleksandrovich 10 Park, Sehie 10 Silva, Cesar E. 9 Chidume, Charles Ejike 9 Ito, Yuji 9 Klee, Victor LaRue 9 Kosloff, Zemer 8 Comfort, William Wistar 8 Hajian, Arshag B. 8 Krengel, Ulrich 8 Monod, Nicolas 7 Albeverio, Sergio A. 7 Caprace, Pierre-Emmanuel 7 Eigen, Stanley J. 7 Iommi, Godofredo 7 Kharazishvili, Alexander Bezhanovich 7 Ostaszewski, Adam J. 7 Remus, Dieter 7 Zhang, Tusheng S. 6 Alpay, Daniel Aron 6 Bingham, Nicholas Hugh 6 Friedman, Nathaniel Abraham 6 Gutman, Yonatan 6 Jacobs, Konrad 6 Khoshnevisan, Davar 6 Lin, Michael 6 Makeev, Vladimir Vladimirovich 6 Peres, Yuval 6 Prasad, Vidhu S. 6 Takeda, Zirô 6 Xiao, Yimin 5 Alpern, Steve 5 Balaj, Mircea 5 De Blasi, Francesco Saverio 5 Hajian, Alireza 5 Harks, Tobias 5 Hewitt, Edwin 5 Keane, Michael S. 5 Khan, Mohammed Ali 5 Labuschagne, Coenraad C. A. 5 Lawler, Gregory Francis 5 Lin, Shou 5 Lindenstrauss, Joram 5 Lisser, Abdel 5 Llorens-Fuster, Enrique 5 Nakamura, Masahiro 5 Nussbaum, Roger David 5 Ol’shanskiĭ, Grigoriĭ Iosifovich 5 Petersen, Karl E. 5 Rosenblatt, Joseph Max 5 Shakhmatov, Dmitri B. 5 Singh, Vikas Vikram 5 Sucheston, Louis 5 Sukochev, Fedor Anatol’evich 5 Vershik, Anatoliĭ Moiseevich 5 Weiss, Benjamin 5 Zakharov, Valeriĭ Konstantinovich 4 Castellani, Marco 4 Chen, Zhenlong 4 Day, Mahlon Marsh 4 Dikranjan, Dikran N. 4 Dudley, Richard Mansfield 4 Eigen, S. 4 Fan, Ky 4 Feldman, Jacob 4 Giuli, Massimiliano 4 Gryllakis, Constantinos 4 Halmos, Paul Richard 4 Hawkins, Jane M. 4 He, Wei 4 Kakutani, Shizuo 4 Karn, Anil Kumar 4 Kirtadze, Aleks P. 4 Komiya, Hidetoshi 4 Kubo, Izumi 4 Lenci, Marco 4 Lin, Lai-Jiu 4 Lotz, Heinrich P. 4 Mackey, George Whitelaw 4 Mandrekar, Vidyadhar S. 4 Morris, Sidney A. 4 Oh, Tadahiro 4 Pratsiovytyi, Mykola 4 Radjavi, Heydar 4 Ritter, Gunter 4 Roy, Emmanuel 4 Segal, Irving Ezra 4 Simon, Barry 4 Takahashi, Wataru 4 Terhesiu, Dalia 4 Todd, Mike 4 Tzvetkov, Nikolay 4 Velozo, Anibal 3 Adler, Roy Lee 3 Agarwal, Ravi P. 3 Ali, Bashir 3 Amini, Massoud ...and 2,109 more Authors all top 5 Cited in 403 Serials 110 Transactions of the American Mathematical Society 91 Journal of Mathematical Analysis and Applications 86 Proceedings of the American Mathematical Society 66 Israel Journal of Mathematics 58 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 50 Bulletin of the American Mathematical Society 48 Topology and its Applications 39 Journal of Functional Analysis 35 Ergodic Theory and Dynamical Systems 33 Mathematische Annalen 32 Mathematische Zeitschrift 31 Advances in Mathematics 23 Communications in Mathematical Physics 22 The Annals of Probability 21 Journal of Mathematical Sciences (New York) 19 Journal of Optimization Theory and Applications 17 Bulletin of the Australian Mathematical Society 15 Journal of Differential Equations 15 Journal of Mathematical Economics 14 Journal d’Analyse Mathématique 14 Mathematical Notes 14 Probability Theory and Related Fields 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 12 Annales de l’Institut Fourier 12 Inventiones Mathematicae 11 Acta Mathematica 11 Journal of Soviet Mathematics 11 Tôhoku Mathematical Journal. Second Series 11 Linear Algebra and its Applications 11 Stochastic Processes and their Applications 11 Fixed Point Theory and Applications 11 Nonlinear Analysis. Theory, Methods & Applications 10 Monatshefte für Mathematik 10 Journal of Theoretical Probability 10 Indagationes Mathematicae. New Series 10 Journal of Fixed Point Theory and Applications 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Semigroup Forum 9 Games and Economic Behavior 9 Expositiones Mathematicae 8 Rocky Mountain Journal of Mathematics 8 Bulletin de la Société Mathématique de France 8 Czechoslovak Mathematical Journal 8 International Journal of Game Theory 8 Acta Mathematica Hungarica 8 Acta Applicandae Mathematicae 8 European Journal of Operational Research 8 Mathematical Programming. Series A. Series B 8 Positivity 8 Proceedings of the Japan Academy 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Journal of Mathematical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Nonlinearity 7 Studia Mathematica 7 Annals of the Institute of Statistical Mathematics 7 Compositio Mathematica 7 Functional Analysis and its Applications 7 Journal of Economic Theory 7 Mathematical Systems Theory 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Numerical Functional Analysis and Optimization 7 Proceedings of the Japan Academy. Series A 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Economic Theory 7 Transactions of A. Razmadze Mathematical Institute 6 International Journal of Theoretical Physics 6 Archiv der Mathematik 6 Duke Mathematical Journal 6 Nagoya Mathematical Journal 6 Siberian Mathematical Journal 6 Mathematical Social Sciences 6 Statistics & Probability Letters 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Abstract and Applied Analysis 6 Kodai Mathematical Seminar Reports 5 Discrete Mathematics 5 Ukrainian Mathematical Journal 5 Integral Equations and Operator Theory 5 Journal of Applied Probability 5 The Journal of Symbolic Logic 5 Manuscripta Mathematica 5 Rendiconti del Seminario Matematico della Università di Padova 5 Operations Research Letters 5 Applied Mathematics Letters 5 Journal of Global Optimization 5 Bulletin of the American Mathematical Society. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Forum of Mathematics, Sigma 4 Computers & Mathematics with Applications 4 Journal of Applied Mathematics and Mechanics 4 Journal of Statistical Physics 4 Lithuanian Mathematical Journal 4 Reports on Mathematical Physics 4 Fundamenta Mathematicae 4 Journal of Approximation Theory 4 Numerische Mathematik 4 SIAM Journal on Control and Optimization 4 Theoretical Computer Science ...and 303 more Serials all top 5 Cited in 59 Fields 325 Probability theory and stochastic processes (60-XX) 312 Functional analysis (46-XX) 283 Operator theory (47-XX) 271 Measure and integration (28-XX) 220 General topology (54-XX) 215 Dynamical systems and ergodic theory (37-XX) 184 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 118 Topological groups, Lie groups (22-XX) 69 Mathematical logic and foundations (03-XX) 69 Abstract harmonic analysis (43-XX) 68 Operations research, mathematical programming (90-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 52 Partial differential equations (35-XX) 50 Ordinary differential equations (34-XX) 48 Group theory and generalizations (20-XX) 47 Convex and discrete geometry (52-XX) 39 Number theory (11-XX) 37 Quantum theory (81-XX) 36 Real functions (26-XX) 36 Numerical analysis (65-XX) 33 Order, lattices, ordered algebraic structures (06-XX) 32 Global analysis, analysis on manifolds (58-XX) 32 Biology and other natural sciences (92-XX) 31 Statistics (62-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 29 Computer science (68-XX) 28 Combinatorics (05-XX) 28 Functions of a complex variable (30-XX) 27 Statistical mechanics, structure of matter (82-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 23 Potential theory (31-XX) 21 Algebraic topology (55-XX) 21 Manifolds and cell complexes (57-XX) 19 History and biography (01-XX) 19 Differential geometry (53-XX) 19 Systems theory; control (93-XX) 15 Difference and functional equations (39-XX) 15 Approximations and expansions (41-XX) 14 Category theory; homological algebra (18-XX) 10 Information and communication theory, circuits (94-XX) 9 Geometry (51-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Associative rings and algebras (16-XX) 6 Integral equations (45-XX) 5 Sequences, series, summability (40-XX) 4 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of particles and systems (70-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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