Edit Profile Kakutani, Shizuo Compute Distance To: Compute Author ID: kakutani.shizuo Published as: Kakutani, S.; Kakutani, Shizuo; Kakutani, Skizuo External Links: MGP · Wikidata · GND · MacTutor Member of Collective: Schark, I. J. Documents Indexed: 128 Publications since 1935, including 1 Book Biographic References: 1 Publication all top 5 Co-Authors 86 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 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 15 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 103 Publications have been cited 2,055 times in 1,753 Documents Cited by ▼ Year ▼ A generalization of Brouwer’s fixed point theorem. JFM 67.0742.03Kakutani, S. 170 1941 On equivalence of infinite product measures. Zbl 0030.02303Kakutani, Shizuo 163 1948 A generalization of Brouwer’s fixed point theorem. Zbl 0061.40304Kakutani, Shizuo 158 1941 Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.). Zbl 0060.26604Kakutani, Shizuo 134 1941 Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Zbl 0027.11102Kakutani, Shizuo 105 1941 Induced measure preserving transformations. Zbl 0060.27406Kakutani, Shizuo 65 1943 Weakly wandering sets and invariant measures. Zbl 0122.29804Hajian, A. B.; Kakutani, S. 59 1964 Structure and continuity of measurable flows. Zbl 0063.00065Ambrose, Warren; Kakutani, Shizuo 56 1942 Two-dimensional Brownian motion and harmonic functions. Zbl 0063.03107Kakutani, Shizuo 50 1944 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. JFM 67.0417.01Yosida, K.; Kakutani, S. 48 1941 Double points of paths of Brownian motion in \(n\)-space. Zbl 0036.09001Dvoretzky, A.; Erdős, Pál; Kakutani, S. 47 1950 On the non-linear difference-differential equation \(y'(t)=[A-B y (t- \tau)] y (t)\). Zbl 0082.30301Kakutani, S.; Markus, L. 41 1958 Über die Metrisation der topologischen Gruppen. Zbl 0015.00701Kakutani, Shizuo 40 1936 Some characterizations of Euclidean space. Zbl 0022.15001Kakutani, Shizuo 36 1939 Invariant measures and orbits of dissipative transformations. Zbl 0236.28010Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 30 1972 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. Zbl 0024.32402Yosida, Kosaku; Kakutani, Skizuo 30 1941 Infinite measure preserving transformations with ’mixing’. Zbl 0126.31801Kakutani, S.; Parry, William 29 1963 Bohr compactifications of a locally compact Abelian group. Zbl 0063.00102Anzai, Hirotada; Kakutani, Shizuo 29 1943 Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305Kakutani, Shizuo; Mackey, George W. 27 1946 Über die Metrisation der topologischen Gruppen. JFM 62.1230.03Kakutani, S. 27 1936 On Brownian motions in n-space. Zbl 0063.03106Kakutani, Shizuo 26 1944 Über das Haarsche Mass in der lokal bikompakten Gruppe. Zbl 0060.13501Kakutani, Shizuo; Kodaira, Kunihiko 26 1944 Triple points of Brownian paths in 3-space. Zbl 0208.44103Dvoretzky, A.; Erdős, Paul; Kakutani, S.; Taylor, S. J. 25 1957 Two fixed-point theorems concerning bicompact convex sets. Zbl 0020.07906Kakutani, Shizuo 24 1938 Free topological groups and infinite direct product topological groups. Zbl 0063.03105Kakutani, Shizuo 22 1944 A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\). Zbl 0061.38309Kakutani, Shizuo 21 1942 Concrete representation of abstract (\(L\))-spaces and the mean ergodic theorem. JFM 67.0419.01Kakutani, S. 21 1941 Two fixed-point theorems concerning bicompact convex sets. JFM 64.1101.03Kakutani, S. 21 1938 On cardinal numbers related with a compact Abelian group. Zbl 0063.03104Kakutani, Shizuo 20 1943 A proof of Beboutov’s theorem. Zbl 0174.40101Kakutani, S. 19 1968 Products of symmetries. Zbl 0084.10602Halmos, Paul R.; Kakutani, Shizuo 19 1958 Nonincrease everywhere of the Brownian motion process. Zbl 0111.15002Dvoretzky, A.; Erdős, Pál; Kakutani, S. 18 1961 Some characterizations of Euclidean space. JFM 65.0506.01Kakutani, S. 18 1939 Topological properties of the unit sphere of a Hilbert space. Zbl 0060.27701Kakutani, 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 Rings of analytic functions. Zbl 0067.05403Kakutani, Shizuo 16 1955 Construction of a non-separable invariant extension of the Lebesgue measure space. Zbl 0040.20901Kakutani, Shizuo; Oxtoby, John C. 16 1950 Notes on infinite product measure spaces. I, II. Zbl 0061.09701Kakutani, Shizuo 16 1943 Concrete representation of (M)-spaces. Zbl 0061.24209Bohnenblust, H. F.; Kakutani, S. 15 1941 The finite topology of a linear space. Zbl 0108.10701Kakutani, Shizuo; Klee, Victor 14 1963 An example concerning uniform boundedness of spectral measures. Zbl 0056.34702Kakutani, Shizuo 14 1954 Determination of the spectrum of the flow of Brownian motion. Zbl 0038.29105Kakutani, Shizuo 14 1950 The speed of convergence in the ergodic theorem. Zbl 0446.28015Kakutani, Shizuo; Petersen, Karl 11 1981 A problem of equidistribution on the unit interval \([0,1]\). Zbl 0363.60023Kakutani, Shizuo 11 1976 Spectral analysis of stationary Gaussian processes. Zbl 0129.30103Kakutani, S. 11 1961 Random ergodic theorems and Markoff processes with a stable distribution. Zbl 0044.33901Kakutani, Shizuo 11 1951 A non-separable translation invariant extension of the Lebesgue measure space. Zbl 0040.20804Kodaira, Kunihiko; Kakutani, Shizuo 11 1950 Two characterizations of real Hilbert space. Zbl 0060.26304Kakutani, Shizuo; Mackey, George W. 11 1944 On non-denumerable graphs. Zbl 0063.01275Erdős, Pál; Kakutani, S. 11 1943 Strictly ergodic symbolic dynamical systems. Zbl 0262.28014Kakutani, Shizuo 10 1972 Construction of a non-separable extension of the Lebesgue measure space. Zbl 0060.13110Kakutani, Shizuo 10 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 9 1960 Iteration of linear operations in complex Banach spaces. Zbl 0019.41602Kakutani, Shizuo 9 1938 Weak convergence in uniformly convex spaces. JFM 64.0369.01Kakutani, S. 9 1938 Full groups and a theorem of Dye. Zbl 0303.28017Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 8 1975 The decomposition of measures. II. Zbl 0063.00066Ambrose, Warren; Halmos, Paul R.; Kakutani, S. 8 1942 Birkhoff’s ergodic theorem and the maximal ergodic theorem. Zbl 0021.41201Yosida, Kosaku; Kakutani, Shizuo 8 1939 Residuality of ergodic measurable transformations and of ergodic transformations which preserve an infinite measure. Zbl 0377.28012Choksi, J. R.; Kakutani, Shizuo 7 1979 Markoff process and the Dirichlet problem. Zbl 0063.03110Kakutani, Shizuo 7 1949 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. Zbl 0017.02301Kakutani, Shizuo 7 1937 Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. Zbl 0267.28008Kakutani, Shizuo 6 1973 A proof of Schauder’s theorem. Zbl 0043.32901Kakutani, Shizuo 6 1951 Weak topology and regularity of Banach spaces. Zbl 0022.05303Kakutani, Shizuo 5 1939 Weak convergence in uniformly convex spaces. Zbl 0020.03201Kakutani, Shizuo 5 1938 Orbits, sections, and induced transformations. Zbl 0297.28019Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 4 1974 On a perfect set. Zbl 0077.27103Erdős, Pál; Kakutani, S. 4 1957 Random walk and the type problem of Riemann surfaces. Zbl 0053.05104Kakutani, Shizuo 4 1953 Mean ergodic theorem in abstract \((L)\)-spaces. Zbl 0021.41304Kakutani, Shizuo 4 1939 Some multiplicative linear functionals on \(M(G)\). Zbl 0123.10104Hewitt, Edwin; Kakutani, Shizuo 3 1964 A proof of the uniqueness of Haar’s measure. Zbl 0029.29101Kakutani, Shizuo 3 1948 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 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 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 Complementing sets of integers - a result from ergodic theory. Zbl 0756.11003Eigen, Stanley; Hajian, Arshag; Kakutani, Shizuo 2 1992 On rings of bounded analytic functions. Zbl 0098.05004Kakutani, Shizuo 2 1958 Ergodic theory. Zbl 0049.08603Kakutani, Shizuo 2 1952 Two-dimensional Brownian motion and the type problem of Riemann surfaces. Zbl 0063.03108Kakutani, Shizuo 2 1949 Notes on divergent series and integrals. Zbl 0061.10002Kakutani, Shizuo 2 1944 Normed rings of a locally compact Abelian group. Zbl 0063.03284Kodaira, Kunihiko; Kakutani, Shizuo 2 1943 Weak topology, bicompact set and the principle of duality. Zbl 0023.13001Kakutani, Shizuo 2 1940 Weak topology, bicompact set and the principle of duality. JFM 66.0530.02Kakutani, S. 2 1940 Application of mean ergodic theorem to the problems of Markoff’s process. JFM 64.1104.03Yosida, K.; Kakutani, S. 2 1938 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 Quadratic diameter of a metric space and its application to a problem in analysis. Zbl 0047.10902Kakutani, Shizuo 1 1952 Representation of measurable flows in Euclidean 3-space. Zbl 0063.03103Kakutani, S. 1 1942 Simultaneous extension of continuous functions considered as a positive linear operation. Zbl 0023.39603Kakutani, Shizuo 1 1940 Ergodic theorems and the Markoff process with a stable distribution. JFM 66.0622.03Kakutani, S. 1 1940 Simultaneous extension of continuous functions considered as a positive linear operation. JFM 66.0535.01Kakutani, S. 1 1940 Markoff process with an enumerable infinite number of possible states. JFM 65.0577.03Yosida, K.; Kakutani, S. 1 1939 Mean ergodic theorem in abstract \((L)\)-spaces. JFM 65.0516.03Kakutani, S. 1 1939 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 Iteration of linear operations in complex Banach spaces. JFM 64.1104.02Kakutani, S. 1 1938 On the family of pseudo-regular functions. Zbl 0018.26206Kakutani, Shizuo 1 1937 Complementing sets of integers - a result from ergodic theory. Zbl 0756.11003Eigen, Stanley; Hajian, Arshag; Kakutani, Shizuo 2 1992 The speed of convergence in the ergodic theorem. Zbl 0446.28015Kakutani, Shizuo; Petersen, Karl 11 1981 Residuality of ergodic measurable transformations and of ergodic transformations which preserve an infinite measure. Zbl 0377.28012Choksi, J. R.; Kakutani, Shizuo 7 1979 A problem of equidistribution on the unit interval \([0,1]\). Zbl 0363.60023Kakutani, Shizuo 11 1976 Full groups and a theorem of Dye. Zbl 0303.28017Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 8 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 6 1973 Invariant measures and orbits of dissipative transformations. Zbl 0236.28010Hajian, Arshag; Ito, Yuji; Kakutani, Shizuo 30 1972 Strictly ergodic symbolic dynamical systems. Zbl 0262.28014Kakutani, Shizuo 10 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. 59 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 29 1963 The finite topology of a linear space. Zbl 0108.10701Kakutani, Shizuo; Klee, Victor 14 1963 Nonincrease everywhere of the Brownian motion process. Zbl 0111.15002Dvoretzky, A.; Erdős, Pál; Kakutani, S. 18 1961 Spectral analysis of stationary Gaussian processes. Zbl 0129.30103Kakutani, S. 11 1961 A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group. Zbl 0100.11803Hewitt, Edwin; Kakutani, Shizuo 9 1960 On the non-linear difference-differential equation \(y'(t)=[A-B y (t- \tau)] y (t)\). Zbl 0082.30301Kakutani, S.; Markus, L. 41 1958 Products of symmetries. Zbl 0084.10602Halmos, Paul R.; Kakutani, Shizuo 19 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. 25 1957 On a perfect set. Zbl 0077.27103Erdős, Pál; Kakutani, S. 4 1957 Rings of analytic functions. Zbl 0067.05403Kakutani, Shizuo 16 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 4 1953 Ergodic theory. Zbl 0049.08603Kakutani, Shizuo 2 1952 Quadratic diameter of a metric space and its application to a problem in analysis. Zbl 0047.10902Kakutani, Shizuo 1 1952 Random ergodic theorems and Markoff processes with a stable distribution. Zbl 0044.33901Kakutani, Shizuo 11 1951 A proof of Schauder’s theorem. Zbl 0043.32901Kakutani, Shizuo 6 1951 Double points of paths of Brownian motion in \(n\)-space. Zbl 0036.09001Dvoretzky, A.; Erdős, Pál; Kakutani, S. 47 1950 Construction of a non-separable invariant extension of the Lebesgue measure space. Zbl 0040.20901Kakutani, Shizuo; Oxtoby, John C. 16 1950 Determination of the spectrum of the flow of Brownian motion. Zbl 0038.29105Kakutani, Shizuo 14 1950 A non-separable translation invariant extension of the Lebesgue measure space. Zbl 0040.20804Kodaira, Kunihiko; Kakutani, Shizuo 11 1950 Markoff process and the Dirichlet problem. Zbl 0063.03110Kakutani, Shizuo 7 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 163 1948 A proof of the uniqueness of Haar’s measure. Zbl 0029.29101Kakutani, Shizuo 3 1948 Ring and lattice characterizations of complex Hilbert space. Zbl 0060.26305Kakutani, Shizuo; Mackey, George W. 27 1946 Two-dimensional Brownian motion and harmonic functions. Zbl 0063.03107Kakutani, Shizuo 50 1944 On Brownian motions in n-space. Zbl 0063.03106Kakutani, Shizuo 26 1944 Über das Haarsche Mass in der lokal bikompakten Gruppe. Zbl 0060.13501Kakutani, Shizuo; Kodaira, Kunihiko 26 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. 11 1944 Construction of a non-separable extension of the Lebesgue measure space. Zbl 0060.13110Kakutani, Shizuo 10 1944 Notes on divergent series and integrals. Zbl 0061.10002Kakutani, Shizuo 2 1944 Induced measure preserving transformations. Zbl 0060.27406Kakutani, Shizuo 65 1943 Bohr compactifications of a locally compact Abelian group. Zbl 0063.00102Anzai, Hirotada; Kakutani, Shizuo 29 1943 On cardinal numbers related with a compact Abelian group. Zbl 0063.03104Kakutani, Shizuo 20 1943 Topological properties of the unit sphere of a Hilbert space. Zbl 0060.27701Kakutani, Shizuo 17 1943 Notes on infinite product measure spaces. I, II. Zbl 0061.09701Kakutani, Shizuo 16 1943 On non-denumerable graphs. Zbl 0063.01275Erdős, Pál; Kakutani, S. 11 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 56 1942 A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\). Zbl 0061.38309Kakutani, Shizuo 21 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. 170 1941 A generalization of Brouwer’s fixed point theorem. Zbl 0061.40304Kakutani, Shizuo 158 1941 Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.). Zbl 0060.26604Kakutani, Shizuo 134 1941 Concrete representation of abstract (L)-spaces and the mean ergodic theorem. Zbl 0027.11102Kakutani, Shizuo 105 1941 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. JFM 67.0417.01Yosida, K.; Kakutani, S. 48 1941 Operator-theoretical treatment of Markoff’s process and mean ergodic theorem. Zbl 0024.32402Yosida, Kosaku; Kakutani, Skizuo 30 1941 Concrete representation of abstract (\(L\))-spaces and the mean ergodic theorem. JFM 67.0419.01Kakutani, S. 21 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. Zbl 0023.13001Kakutani, Shizuo 2 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. Zbl 0023.39603Kakutani, Shizuo 1 1940 Ergodic theorems and the Markoff process with a stable distribution. JFM 66.0622.03Kakutani, S. 1 1940 Simultaneous extension of continuous functions considered as a positive linear operation. JFM 66.0535.01Kakutani, S. 1 1940 Some characterizations of Euclidean space. Zbl 0022.15001Kakutani, Shizuo 36 1939 Some characterizations of Euclidean space. JFM 65.0506.01Kakutani, S. 18 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 Markoff process with an enumerable infinite number of possible states. JFM 65.0577.03Yosida, K.; Kakutani, S. 1 1939 Mean ergodic theorem in abstract \((L)\)-spaces. JFM 65.0516.03Kakutani, S. 1 1939 Two fixed-point theorems concerning bicompact convex sets. Zbl 0020.07906Kakutani, Shizuo 24 1938 Two fixed-point theorems concerning bicompact convex sets. JFM 64.1101.03Kakutani, S. 21 1938 Iteration of linear operations in complex Banach spaces. Zbl 0019.41602Kakutani, Shizuo 9 1938 Weak convergence in uniformly convex spaces. JFM 64.0369.01Kakutani, S. 9 1938 Weak convergence in uniformly convex spaces. Zbl 0020.03201Kakutani, Shizuo 5 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 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 Iteration of linear operations in complex Banach spaces. JFM 64.1104.02Kakutani, S. 1 1938 Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen. Zbl 0017.02301Kakutani, Shizuo 7 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. Zbl 0015.00701Kakutani, Shizuo 40 1936 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,973 Authors 21 Aaronson, Jon 16 Jørgensen, Palle E. T. 10 Park, Sehie 9 Chidume, Charles Ejike 9 Ito, Yuji 9 Klee, Victor LaRue 9 Silva, Cesar E. 8 Comfort, William Wistar 8 Danilenko, Alexandre I. 8 Eigen, Stanley J. 8 Hajian, Arshag B. 8 Kashchenko, Sergeĭ Aleksandrovich 8 Krengel, Ulrich 8 Monod, Nicolas 7 Albeverio, Sergio A. 7 Caprace, Pierre-Emmanuel 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 Ostaszewski, Adam J. 6 Peres, Yuval 6 Prasad, Vidhu S. 6 Remus, Dieter 6 Takeda, Zirô 5 Alpay, Daniel Aron 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 Kharazishvili, Alexander Bezhanovich 5 Labuschagne, Coenraad C. A. 5 Lindenstrauss, Joram 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 Sucheston, Louis 5 Sukochev, Fedor Anatol’evich 5 Vershik, Anatoliĭ Moiseevich 5 Weiss, Benjamin 5 Xiao, Yimin 5 Zakharov, Valeriĭ Konstantinovich 5 Zhang, Tusheng S. 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 Gryllakis, Constantinos 4 Halmos, Paul Richard 4 Hawkins, Jane M. 4 Iommi, Godofredo 4 Kakutani, Shizuo 4 Komiya, Hidetoshi 4 Kosloff, Zemer 4 Kubo, Izumi 4 Lawler, Gregory Francis 4 Lenci, Marco 4 Lin, Lai-Jiu 4 Lisser, Abdel 4 Llorens-Fuster, Enrique 4 Lotz, Heinrich P. 4 Mackey, George Whitelaw 4 Morris, Sidney A. 4 Radjavi, Heydar 4 Ritter, Gunter 4 Segal, Irving Ezra 4 Singh, Vikas Vikram 4 Takahashi, Wataru 4 Tarafdar, Enayat 4 Uhlmann, Armin 3 Adler, Roy Lee 3 Agarwal, Ravi P. 3 Ali, Bashir 3 Arens, Richard Friederich 3 Bader, Uri 3 Berezansky, Leonid M. 3 Bertoin, Jean 3 Bessa, Mário 3 Bock, Wolfgang 3 Bogachev, Vladimir Igorevich 3 Braverman, Elena 3 Brunel, Antoine 3 Castellani, Marco 3 Chang, Shiow-Yu 3 Cheeger, Jeff 3 Chen, Zhen-Qing 3 Chevalier, Georges 3 Chu, Hsin ...and 1,873 more Authors all top 5 Cited in 359 Serials 107 Transactions of the American Mathematical Society 85 Journal of Mathematical Analysis and Applications 84 Proceedings of the American Mathematical Society 64 Israel Journal of Mathematics 56 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 50 Bulletin of the American Mathematical Society 45 Topology and its Applications 39 Journal of Functional Analysis 33 Mathematische Annalen 30 Mathematische Zeitschrift 29 Advances in Mathematics 26 Ergodic Theory and Dynamical Systems 20 The Annals of Probability 20 Journal of Mathematical Sciences (New York) 19 Communications in Mathematical Physics 17 Bulletin of the Australian Mathematical Society 16 Journal of Optimization Theory and Applications 15 Journal of Differential Equations 14 Mathematical Notes 14 Journal of Mathematical Economics 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 11 Journal d’Analyse Mathématique 11 Acta Mathematica 11 Annales de l’Institut Fourier 11 Inventiones Mathematicae 11 Journal of Soviet Mathematics 11 Tohoku Mathematical Journal. Second Series 11 Linear Algebra and its Applications 11 Fixed Point Theory and Applications 11 Nonlinear Analysis. Theory, Methods & Applications 10 Stochastic Processes and their Applications 9 Monatshefte für Mathematik 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Semigroup Forum 9 Journal of Theoretical Probability 9 Expositiones Mathematicae 9 Indagationes Mathematicae. New Series 8 Rocky Mountain Journal of Mathematics 8 Bulletin de la Société Mathématique de France 8 Czechoslovak Mathematical Journal 8 Acta Applicandae Mathematicae 8 Games and Economic Behavior 8 European Journal of Operational Research 8 Mathematical Programming. Series A. Series B 8 Proceedings of the Japan Academy 8 Journal of Fixed Point Theory and Applications 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Nonlinearity 7 Annals of the Institute of Statistical Mathematics 7 Compositio Mathematica 7 Functional Analysis and its Applications 7 International Journal of Game 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 6 International Journal of Theoretical Physics 6 Journal of Mathematical Physics 6 Reports on Mathematical Physics 6 Archiv der Mathematik 6 Journal of Economic Theory 6 Nagoya Mathematical Journal 6 Mathematical Social Sciences 6 Statistics & Probability Letters 6 Abstract and Applied Analysis 6 Kodai Mathematical Seminar Reports 5 Discrete Mathematics 5 Journal of Applied Mathematics and Mechanics 5 Studia Mathematica 5 Duke Mathematical Journal 5 Manuscripta Mathematica 5 Rendiconti del Seminario Matematico della Università di Padova 5 Siberian Mathematical Journal 5 Operations Research Letters 5 Applied Mathematics Letters 5 Journal of Global Optimization 5 Bulletin of the American Mathematical Society. New Series 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of the European Mathematical Society (JEMS) 4 Computers & Mathematics with Applications 4 Journal of Statistical Physics 4 Lithuanian Mathematical Journal 4 Ukrainian Mathematical Journal 4 Applied Mathematics and Computation 4 Fundamenta Mathematicae 4 Integral Equations and Operator Theory 4 Journal of Applied Probability 4 Journal of Approximation Theory 4 Numerische Mathematik 4 Theoretical Computer Science 4 Acta Mathematica Hungarica 4 Acta Mathematicae Applicatae Sinica. English Series 4 Economics Letters 4 Geometric and Functional Analysis. GAFA 4 Aequationes Mathematicae ...and 259 more Serials all top 5 Cited in 59 Fields 299 Probability theory and stochastic processes (60-XX) 281 Functional analysis (46-XX) 251 Operator theory (47-XX) 248 Measure and integration (28-XX) 199 General topology (54-XX) 178 Dynamical systems and ergodic theory (37-XX) 162 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 107 Topological groups, Lie groups (22-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 60 Abstract harmonic analysis (43-XX) 59 Mathematical logic and foundations (03-XX) 59 Operations research, mathematical programming (90-XX) 46 Partial differential equations (35-XX) 44 Ordinary differential equations (34-XX) 42 Group theory and generalizations (20-XX) 40 Convex and discrete geometry (52-XX) 35 Number theory (11-XX) 35 Quantum theory (81-XX) 32 Real functions (26-XX) 30 Numerical analysis (65-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 29 Statistics (62-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Biology and other natural sciences (92-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Computer science (68-XX) 24 Combinatorics (05-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Potential theory (31-XX) 20 Manifolds and cell complexes (57-XX) 19 History and biography (01-XX) 17 Algebraic topology (55-XX) 17 Systems theory; control (93-XX) 14 Approximations and expansions (41-XX) 14 Differential geometry (53-XX) 13 Category theory; homological algebra (18-XX) 13 Difference and functional equations (39-XX) 10 Information and communication theory, circuits (94-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Geometry (51-XX) 5 Associative rings and algebras (16-XX) 4 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-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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