Shizuo Kakutani

E30873

Japanese-American mathematician human mathematician

Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.

Aliases (1)

Kakutani ×1

Statements (46)

Predicate	Object
instanceOf	Japanese-American mathematician → human → mathematician →
affiliation	Yale University Department of Mathematics →
awardReceived	Japan Academy Prize → Leroy P. Steele Prize →
contributedTo	game theory via fixed-point methods → integration in infinite-dimensional spaces → mathematical economics via fixed-point theorems → theory of Markov processes →
countryOfCitizenship	Japan → United States of America →
educatedAt	Kyoto Imperial University → Tohoku University →
employer	Yale University →
familyName	Kakutani →
fieldOfWork	ergodic theory → functional analysis → mathematics → measure theory → potential theory → probability theory →
givenName	Shizuo →
hasAcademicDiscipline	analysis → probability →
hasConceptNamedAfter	Kakutani equivalence in ergodic theory → Kakutani skyscraper construction in ergodic theory →
hasTheoremNamedAfter	Kakutani fixed-point theorem → Kakutani’s random ergodic theorem →
influencedBy	Shizuo Kakutani’s teachers at Kyoto Imperial University →
knownFor	Kakutani fixed-point theorem → contributions to functional analysis → contributions to probability theory →
languageOfWorkOrName	English → Japanese →
memberOf	American Mathematical Society → Japan Academy →
name	Shizuo Kakutani →
notableStudent	Kiyosi Itô →
notableWork	Kakutani fixed-point theorem → Kakutani’s theorem on random ergodic theorems → papers on Brownian motion → papers on potential theory → work on Markov processes →
occupation	university professor →
sexOrGender	male →

Referenced by (3)

Subject (surface form when different)	Predicate
Shizuo Kakutani ("Kakutani") →	familyName
Shizuo Kakutani →	name
Kakutani fixed-point theorem →	namedAfter