×

zbMATH — the first resource for mathematics

Umegaki, Hisaharu

Compute Distance To:
Author ID: umegaki.hisaharu Recent zbMATH articles by "Umegaki, Hisaharu"
Published as: Umegaki, Hisaharu; Umegaki, H.
Documents Indexed: 48 Publications since 1950, including 1 Book

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 859 times in 714 Documents Cited by Year
Integrals, conditional expectations, and martingales of multivalued functions. Zbl 0368.60006
Hiai, Fumio; Umegaki, Hisaharu
351
1977
Conditional expectation in an operator algebra. IV. (Entropy and information). Zbl 0199.19706
Umegaki, Hisaharu
165
1962
Conditional expectation in an operator algebra. Zbl 0058.10503
Umegaki, Hisaharu
115
1954
Conditional expectation in an operator algebra. II. Zbl 0072.12501
Umegaki, Hisaharu
42
1956
A note on the entropy for operator algebras. Zbl 0101.09401
Nakamura, Masahiro; Umegaki, Hisaharu
36
1961
Conditional expectation in an operator algebra. III. Zbl 0102.10801
Umegaki, Hisaharu
25
1959
Positive definite function and direct product Hilbert space. Zbl 0066.36203
Umegaki, Hisaharu
18
1955
A remark on the expectations. Zbl 0102.10802
Nakamura, M.; Takesaki, M.; Umegaki, H.
18
1960
On von Neumann’s theory of measurements in quantum statistics. Zbl 0113.09803
Nakamura, Masahiro; Umegaki, H.
16
1962
Banach space-valued random variables and tensor products of Banach spaces. Zbl 0292.60008
Umegaki, Hisaharu; Bharucha-Reid, A. T.
11
1970
Representations and extremal properties of averaging operators and their applications to information shannels. Zbl 0255.47012
Umegaki, Hisaharu
7
1969
Weak compactness in an operator space. Zbl 0074.09902
Umegaki, Hisaharu
7
1956
General treatment of alphabet-message space and integral representation of entropy. Zbl 0139.37602
Umegaki, Hisaharu
6
1964
Absolute continuity of information channels. Zbl 0298.46036
Umegaki, Hisaharu
5
1974
Decomposition theorems of operator algebra and their applications. Zbl 0049.20601
Umegaki, Hisaharu
5
1952
On information in operator algebras. Zbl 0113.33102
Umegaki, Hisaharu
4
1961
A functional method on amount entropy. Zbl 0117.12406
Umegaki, Hisaharu
4
1963
A functional method for stationary channels. Zbl 0139.37603
Umegaki, Hisaharu
4
1964
On a proposition of von Neumann. Zbl 0073.33301
Nakamura, Masahiro; Umegaki, Hisaharu
3
1956
Heisenberg’s commutation relation and the Plancherel theorem. Zbl 0101.09404
Nakamura, Masahiro; Umegaki, Hisaharu
3
1961
A formulation of noncommutative McMillan theorem. Zbl 0646.46064
Ohya, Masanori; Tsukada, Makoto; Umegaki, Hisaharu
2
1987
Compact set in uniform space and functions spaces. Zbl 0044.37902
Umegaki, Hisaharu
2
1951
Operator algebra of finite class. Zbl 0048.34903
Umegaki, Hisaharu
2
1952
Entropy functionals in stationary channels. Zbl 0115.13101
Umegaki, Hisaharu
2
1962
A generalization of Goebel and Kirk’s fixed point theorem. Zbl 0335.47037
Umegaki, Hisaharu; Takahashi, Waturu
1
1974
On the Blackwell theorem in operator algebras. Zbl 0197.11101
Nakamura, Masahiro; Umegaki, H.
1
1961
On the uniform space. Zbl 0041.31604
Umegaki, Hisaharu
1
1950
A remark on theorems of Stone and Bochner. Zbl 0044.01802
Nakamura, Masahiro; Umegaki, Hisaharu
1
1951
On some representation theorem in an operator algebra. Zbl 0047.11003
Umegaki, Hisaharu
1
1952
Supplement and correction to the preceding paper ’A functional method for stationary channels’. Zbl 0173.47201
Umegaki, Hisaharu
1
1964
A formulation of noncommutative McMillan theorem. Zbl 0646.46064
Ohya, Masanori; Tsukada, Makoto; Umegaki, Hisaharu
2
1987
Integrals, conditional expectations, and martingales of multivalued functions. Zbl 0368.60006
Hiai, Fumio; Umegaki, Hisaharu
351
1977
Absolute continuity of information channels. Zbl 0298.46036
Umegaki, Hisaharu
5
1974
A generalization of Goebel and Kirk’s fixed point theorem. Zbl 0335.47037
Umegaki, Hisaharu; Takahashi, Waturu
1
1974
Banach space-valued random variables and tensor products of Banach spaces. Zbl 0292.60008
Umegaki, Hisaharu; Bharucha-Reid, A. T.
11
1970
Representations and extremal properties of averaging operators and their applications to information shannels. Zbl 0255.47012
Umegaki, Hisaharu
7
1969
General treatment of alphabet-message space and integral representation of entropy. Zbl 0139.37602
Umegaki, Hisaharu
6
1964
A functional method for stationary channels. Zbl 0139.37603
Umegaki, Hisaharu
4
1964
Supplement and correction to the preceding paper ’A functional method for stationary channels’. Zbl 0173.47201
Umegaki, Hisaharu
1
1964
A functional method on amount entropy. Zbl 0117.12406
Umegaki, Hisaharu
4
1963
Conditional expectation in an operator algebra. IV. (Entropy and information). Zbl 0199.19706
Umegaki, Hisaharu
165
1962
On von Neumann’s theory of measurements in quantum statistics. Zbl 0113.09803
Nakamura, Masahiro; Umegaki, H.
16
1962
Entropy functionals in stationary channels. Zbl 0115.13101
Umegaki, Hisaharu
2
1962
A note on the entropy for operator algebras. Zbl 0101.09401
Nakamura, Masahiro; Umegaki, Hisaharu
36
1961
On information in operator algebras. Zbl 0113.33102
Umegaki, Hisaharu
4
1961
Heisenberg’s commutation relation and the Plancherel theorem. Zbl 0101.09404
Nakamura, Masahiro; Umegaki, Hisaharu
3
1961
On the Blackwell theorem in operator algebras. Zbl 0197.11101
Nakamura, Masahiro; Umegaki, H.
1
1961
A remark on the expectations. Zbl 0102.10802
Nakamura, M.; Takesaki, M.; Umegaki, H.
18
1960
Conditional expectation in an operator algebra. III. Zbl 0102.10801
Umegaki, Hisaharu
25
1959
Conditional expectation in an operator algebra. II. Zbl 0072.12501
Umegaki, Hisaharu
42
1956
Weak compactness in an operator space. Zbl 0074.09902
Umegaki, Hisaharu
7
1956
On a proposition of von Neumann. Zbl 0073.33301
Nakamura, Masahiro; Umegaki, Hisaharu
3
1956
Positive definite function and direct product Hilbert space. Zbl 0066.36203
Umegaki, Hisaharu
18
1955
Conditional expectation in an operator algebra. Zbl 0058.10503
Umegaki, Hisaharu
115
1954
Decomposition theorems of operator algebra and their applications. Zbl 0049.20601
Umegaki, Hisaharu
5
1952
Operator algebra of finite class. Zbl 0048.34903
Umegaki, Hisaharu
2
1952
On some representation theorem in an operator algebra. Zbl 0047.11003
Umegaki, Hisaharu
1
1952
Compact set in uniform space and functions spaces. Zbl 0044.37902
Umegaki, Hisaharu
2
1951
A remark on theorems of Stone and Bochner. Zbl 0044.01802
Nakamura, Masahiro; Umegaki, Hisaharu
1
1951
On the uniform space. Zbl 0041.31604
Umegaki, Hisaharu
1
1950
all top 5

Cited by 566 Authors

53 Papageorgiou, Nikolaos S.
21 Michta, Mariusz
21 Umegaki, Hisaharu
19 Hiai, Fumio
18 Li, Shoumei
16 Tolstonogov, Aleksandr Aleksandrovich
15 López-Díaz, Miguel
15 Wilde, Mark M.
14 Ohya, Masanori
14 Petz, Dénes
13 Malinowski, Marek T.
11 Choda, Marie
11 Kisielewicz, Michał
11 Watanabe, Noboru
10 Terán, Pedro
10 Xue, Xiaoping
9 Nakamura, Masahiro
9 Ogura, Yukio
8 Berta, Mario
8 Tomamichel, Marco
7 de Korvin, André
7 Ezzaki, Fatima
7 Gil, María Angeles
7 Takesaki, Masamichi
7 Yanagi, Kenjiro
6 Choda, Hisashi
6 Fei, Weiyin
6 Hess, Christian
6 Kakihara, Yûichirô
6 Molchanov, Ilya S.
6 Motyl, Jerzy
6 Ozawa, Masanao
6 Takeda, Zirô
5 Bouchitté, Guy
5 Carlen, Eric Anders
5 Furuichi, Shigeru
5 Giner, Emmanuel
5 Podsȩdkowska, Hanna
5 Seo, Yuki
5 Timoshin, Sergey A.
5 Yannelis, Nicholas C.
4 Accardi, Luigi
4 Audenaert, Koenraad M. R.
4 Castaing, Charles
4 Cheng, Yi
4 Datta, Nilanjana
4 Furuta, Takayuki
4 Guan, Li
4 Gudder, Stanley P.
4 Kandilakis, Dimitrios A.
4 Kannan, Devika
4 Kuriyama, Ken
4 Kwon, Joong Sung
4 Lami, Ludovico
4 Lépinette, Emmanuel
4 Lieb, Elliott H.
4 Łuczak, Andrzej
4 Mosonyi, Milán
4 Quang, Nguyen Van
4 Rodríguez-Muñiz, Luis J.
4 Staicu, Vasile
4 Stojaković, Mila
4 Sukochev, Fedor Anatol’evich
4 Świątek, Kamil Łukasz
4 Tsukada, Makoto
4 Valadier, Michel
4 Wang, Rongming
4 Wang, Zhenpeng
4 Wilde, Ivan Francis
3 Alò, Richard A.
3 Avgerinos, Evgenios P.
3 Barnett, Chris
3 Bharucha-Reid, Albert Turner
3 Cong, Fuzhong
3 Das, Siddhartha
3 Dragomir, Sever Silvestru
3 Fu, Ke’ang
3 Fujii, Jun Ichi
3 Fujii, Masatoshi
3 Jang, Lee-Chae
3 Kim, Yun Kyong
3 Kleyle, Robert M.
3 Li, Guocheng
3 Li, Jun-Gang
3 Mehlitz, Patrick
3 Müller-Hermes, Alexander
3 Nikoufar, Ismail
3 Ouahab, Abdelghani
3 Padmanabhan, Appaswamy Ramanathan
3 Perkkiö, Ari-Pekka
3 Scholz, Volkher B.
3 Streater, Raymond F.
3 Tomiyama, Jun
3 Venturi, Daniele
3 Wu, Hsien-Chung
3 Zhang, Jinping
2 Aiki, Toyohiko
2 Akemann, Charles A.
2 Araki, Huzihiro
2 Ayala, Guillermo
...and 466 more Authors
all top 5

Cited in 183 Serials

62 Journal of Mathematical Analysis and Applications
35 Journal of Mathematical Physics
35 Fuzzy Sets and Systems
29 Proceedings of the Japan Academy
27 Stochastic Analysis and Applications
25 Communications in Mathematical Physics
17 Journal of Multivariate Analysis
17 Tohoku Mathematical Journal. Second Series
17 Linear Algebra and its Applications
17 Kodai Mathematical Seminar Reports
15 Journal of Functional Analysis
13 Kodai Mathematical Journal
13 Transactions of the American Mathematical Society
12 Proceedings of the American Mathematical Society
9 Information Sciences
8 International Journal of Theoretical Physics
8 Letters in Mathematical Physics
8 Journal of Optimization Theory and Applications
8 Open Systems & Information Dynamics
8 Set-Valued and Variational Analysis
7 Statistics & Probability Letters
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Journal of Physics A: Mathematical and Theoretical
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Siberian Mathematical Journal
6 Quantum Information Processing
5 Advances in Mathematics
5 Czechoslovak Mathematical Journal
5 Journal of Differential Equations
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Set-Valued Analysis
5 Nonlinear Analysis. Theory, Methods & Applications
4 Bulletin of the Australian Mathematical Society
4 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Acta Mathematica Hungarica
4 Test
4 New Journal of Physics
4 Foundations of Physics
4 Advances in Operator Theory
3 Applicable Analysis
3 International Journal of Systems Science
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Acta Mathematica
3 Bulletin de la Société Mathématique de France
3 Glasgow Mathematical Journal
3 Journal of Approximation Theory
3 Mathematische Annalen
3 Numerical Functional Analysis and Optimization
3 SIAM Journal on Control and Optimization
3 Systems & Control Letters
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Optimization
3 International Journal of Approximate Reasoning
3 Journal of Convex Analysis
3 Positivity
3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
3 Nonlinear Analysis. Real World Applications
2 Analysis Mathematica
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Linear and Multilinear Algebra
2 Periodica Mathematica Hungarica
2 The Annals of Probability
2 Applied Mathematics and Computation
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of Economic Theory
2 Journal of the Korean Mathematical Society
2 Journal of Mathematical Economics
2 Journal of Statistical Planning and Inference
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Applied Mathematics and Mechanics. (English Edition)
2 Physica D
2 Statistics
2 International Journal of Mathematics
2 Annals of Operations Research
2 Japan Journal of Industrial and Applied Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Mathematical Programming. Series A. Series B
2 Economic Theory
2 Mathematical Problems in Engineering
2 Finance and Stochastics
2 Journal of Applied Analysis
2 Abstract and Applied Analysis
2 Soft Computing
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 Stochastics and Dynamics
2 Journal of Intelligent and Fuzzy Systems
2 Bulletin of the American Mathematical Society
2 Annals of Functional Analysis
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics A
1 International Journal of Control
...and 83 more Serials
all top 5

Cited in 37 Fields

204 Probability theory and stochastic processes (60-XX)
185 Functional analysis (46-XX)
139 Quantum theory (81-XX)
124 Measure and integration (28-XX)
114 Operator theory (47-XX)
105 Information and communication theory, circuits (94-XX)
64 Ordinary differential equations (34-XX)
57 Calculus of variations and optimal control; optimization (49-XX)
32 Real functions (26-XX)
30 Systems theory; control (93-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
26 General topology (54-XX)
25 Statistics (62-XX)
22 Statistical mechanics, structure of matter (82-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Mathematical logic and foundations (03-XX)
17 Operations research, mathematical programming (90-XX)
15 Partial differential equations (35-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Convex and discrete geometry (52-XX)
8 Approximations and expansions (41-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Computer science (68-XX)
5 Abstract harmonic analysis (43-XX)
5 Integral equations (45-XX)
4 Numerical analysis (65-XX)
4 Mechanics of deformable solids (74-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year