Shoichiro Sakai

Q: What Schools Are Affiliated With Shoichiro Sakai

Shoichiro Sakai is affiliated with the following schools: University of Tokyo, Institute of Science Tokyo, Nihon University, Waseda University, Kyoto University, University of Pennsylvania

Shoichiro Sakai's AcademicInfluence.com Rankings

Shoichiro Sakai

Mathematics

#4177

World Rank

#5988

Historical Rank

Measure Theory

#2457

World Rank

#2948

Historical Rank

mathematics Degrees

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Mathematics

Shoichiro Sakai's Degrees

PhD Mathematics University of Tokyo

Why Is Shoichiro Sakai Influential?

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According to Wikipedia, is a Japanese mathematician. Life Sakai studied mathematics at the Tohoku University . He there received the B. A. degree in 1953 and a doctorate at the same University in 1961. From 1960 to 1964, he was a faculty member of Waseda University. He then went to the University of Pennsylvania, where he became a professor in 1966 and remained until 1979. He then returned to Japan and went to the Nihon University. In 1992, he received the Japanese Mathematical Society Autumn Prize. He is a fellow of the American Mathematical Society.

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Shoichiro Sakai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

C*-Algebras and W*-Algebras (1971) (945)
Operator algebras in dynamical systems (1991) (236)
Derivations of W ∗ -Algebras (1966) (194)
On Type I C ∗ -Algebras (1967) (118)
ON A CONJECTURE OF KAPLANSKY (1960) (94)
Weakly compact operators on operator algebras. (1964) (85)
A characterization of $W^*$-algebras. (1956) (80)
Existence of ground states and KMS states for approximately inner dynamics (1975) (69)
A Radon-Nikodym theorem in $W^*$-algebras (1965) (58)
Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra (2001) (54)
Derivations of simple C∗-algebras (1968) (52)
Unbounded derivations in operator algebras (1975) (46)
On One-Parameter Subgroups of *-Automorphisms on Operator Algebras and the Corresponding Unbounded Derivations (1976) (40)
Review: Ola Bratelli and Derek W. Robinson, Operator algebras and quantum statistical mechanics, Volumes I and II (1982) (39)
On the representations of semi-simple Lie groups (1954) (35)
Recent developments in the theory of unbounded derivations in C*-algebras (1978) (35)
On Topological Properties of w*-algebras (1957) (32)
On a characterization of type I $C^ *$-algebras (1966) (32)
Asymptotically Abelian II1-Factors (1968) (26)
On commutative normal *-derivations (1975) (23)
Automorphisms and Tensor Products of Operator Algebras (1975) (21)
An uncountable number of II1 and II∞ factors (1970) (18)
On Linear Functionals of W*-algebras (1958) (17)
On type *-algebras (1967) (17)
On the Hyperfinite II 1 -Factor (1968) (15)
On commutative normal ∗-derivations, II (1976) (15)
On the central decomposition for positive functionals on *-algebras (1965) (15)
ON THE GROUP ISOMORPHISM OF UNITARY GROUPS IN AW -ALGEBRAS (1955) (15)
On the Stone-Weierstrass Theorem of $C^*$-Algebras (作用素環の研究会報告集) (1969) (14)
Derivations of simple $C^*$-algebras. II (1971) (14)
DERIVATIONS OF SIMPLE {C^ * }-ALGEBRAS, III (1971) (13)
On a Problem of Calkin (1966) (9)
The theory of W*-algebras (1962) (9)
On the reduction theory of von Neumann (1964) (8)
ON AUTOMORPHISM GROUPS OF {\coprod _1}-FACTORS (1974) (7)
COMMUTATIVE NORMAL *-DERIVATIONS III (1976) (6)
The absolute value of $W^*$-algebras of finite type (1956) (6)
Asymptotically Abelian /^-Factors (1968) (6)
On topologies of finite W*-algebras (1965) (4)
ON THE TENSOR PRODUCT OF W*.ALGEBRAS. (1968) (3)
Operator algebras in dynamical systems: Unbounded derivations (1991) (3)
DERIVED {C^ * }-ALGEBRAS OF PRIMITIVE {C^ * }-ALGEBRAS (1973) (3)
Derivations of uniformly hyperfinite C*-algebras (1967) (3)
Homogeneity of the pure state space for the separable nuclear C*-algebras (2001) (3)
ON SOME PROBLEMS OF C *-ALGEBRAS (1959) (2)
On pure states of *-algebras (1966) (1)
Unbounded Derivations in Commutative C*-Algebras (同型写像と非有界微分子) (1978) (1)
On global W∗-algebras (1969) (1)
On global type II1 W∗ algebras (1971) (1)
On the σ-weak Topology of W*-algebras (1956) (1)
Asymptotically Abelian $II_1$-Factors (作用素環研究会報告集) (1968) (1)
Phase transition free states on UHF algebras (1982) (1)
On the hyperfinite ₁-factor (1968) (1)
An Uncountable Number of $II_1, II_\infty$-Factors (作用素環の研究会報告集) (1969) (0)
A remark on Mautner's decomposition (1952) (0)
On Infinite-dimensional Representations of Semisimple Lie Algebras and Some Functionals on the Universal Enveloping Algebras. I (1954) (0)
CORRESPONDING UNBOUNDED DERIVATIONS. (2016) (0)
Bounded perturbations and KMS states in C※-algebras (1985) (0)
Operator algebras in dynamical systems: Preface (1991) (0)
ON THE HYPERFINITE IL-FACTOR (2010) (0)
ON PURE STATES OF C-ALGEBRAS (2010) (0)
O A ] 6 J ul 2 00 6 EXTREMAL MARGINAL TRACIAL STATES IN COUPLED SYSTEMS (2019) (0)
Classification of W*-Algebras (1998) (0)
C*-dynamical systems (1991) (0)
On the hyperfinite ${\rm II}\sb{1}$-factor (1968) (0)
On type $I$ $C\sp{\ast} $-algebras (1967) (0)

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What Schools Are Affiliated With Shoichiro Sakai?

Shoichiro Sakai is affiliated with the following schools:

Shoichiro Sakai's Academic­Influence.com Rankings