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## Yamazaki, Takeaki

Compute Distance To:
 Author ID: yamazaki.takeaki Published as: Yamayaki, Takeaki; Yamazaki, T.; Yamazaki, Takeaki External Links: MGP
 Documents Indexed: 66 Publications since 1998 Reviewing Activity: 186 Reviews
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#### Co-Authors

 17 single-authored 23 Yanagida, Masahiro 11 Furuta, Takayuki 10 Ito, Masatoshi 8 Chō, Muneo 4 Lim, Yongdo 3 Lee, Hosoo 3 Seo, Yuki 2 Fujii, Jun Ichi 2 Hashimoto, Masashi 2 Huruya, Tadasi 2 Jung, Changdo 2 Moslehian, Mohammad Sal 2 Udagawa, Yoichi 2 Wada, Shuhei 1 Bhatia, Rajendra 1 Djordjević, Slaviša V. 1 Duggal, Bhagwati Prashad 1 Giga, Mariko 1 Kittaneh, Fuad 1 Lee, Jun Ik 1 Nakazato, Hiroshi 1 Nakazi, Takahiko 1 Okubo, Kazuyoshi 1 Patel, Sharandas M. 1 Sattari, Mostafa 1 Sołtysiak, Andrzej 1 Uchiyama, Mitsuru
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#### Serials

 15 Linear Algebra and its Applications 8 RIMS Kokyuroku 7 Scientiae Mathematicae 6 Integral Equations and Operator Theory 6 Mathematical Inequalities & Applications 4 Acta Scientiarum Mathematicarum 2 Journal of Mathematical Analysis and Applications 2 Nihonkai Mathematical Journal 2 Scientiae Mathematicae Japonicae 1 Linear and Multilinear Algebra 1 Studia Mathematica 1 Mathematica Japonica 1 Proceedings of the American Mathematical Society 1 Journal of Operator Theory 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 SUT Journal of Mathematics 1 Far East Journal of Mathematical Sciences 1 Operators and Matrices 1 Banach Journal of Mathematical Analysis

#### Fields

 60 Operator theory (47-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

47 Publications have been cited 359 times in 253 Documents Cited by Year
On upper and lower bounds of the numerical radius and an equality condition. Zbl 1114.47003
Yamazaki, Takeaki
2007
A subclass of paranormal operators including class of log-hyponormal and several related classes. Zbl 0936.47009
Furuta, Takayuki; Ito, Masatoshi; Yamazaki, Takeaki
1998
Cartesian decomposition and numerical radius inequalities. Zbl 1322.47008
2015
The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order. Zbl 06084697
Yamazaki, Takeaki
2012
An expression of spectral radius via Aluthge transformation. Zbl 1009.47010
Yamazaki, Takeaki
2002
Relations between two inequalities $$(B^{\frac r2} A^p B^{\frac r2})^{\frac r{p+r}}\geq B^r$$ and $$A^p\geq(A^{\frac p2} B^r A^{\frac p2})^{\frac p{p+r}}$$ and their applications. Zbl 1028.47013
Ito, Masatoshi; Yamazaki, Takeaki
2002
The iterated Aluthge transforms of a 2-by-2 matrix converge. Zbl 1045.15015
Ando, T.; Yamazaki, T.
2003
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
2016
On some inequalities for the matrix power and Karcher means. Zbl 1260.15032
Lim, Yongdo; Yamazaki, Takeaki
2013
Some generalized numerical radius inequalities for Hilbert space operators. Zbl 1322.47010
Sattari, Mostafa; Moslehian, Mohammad Sal; Yamazaki, Takeaki
2015
Simplified proof of Tanahashi’s result on the best possibility of generalized Furuta inequality. Zbl 0938.47015
Yamazaki, Takeaki
1999
Characterizations of chaotic order associated with Kantorovich inequality. Zbl 0951.47019
Yamazaki, Takeaki; Yanagida, Masahiro
1999
On an elementary operator with $$w$$-hyponormal operator entries. Zbl 1202.47037
Chō, M.; Djordjević, S. V.; Duggal, B. P.; Yamazaki, T.
2010
An operator transform from class A to the class of hyponormal operators and its application. Zbl 1098.47006
Chō, Muneo; Yamazaki, Takeaki
2005
On numerical range of the Aluthge transformation. Zbl 1021.47004
Yamazaki, Takeaki
2002
An extension of Kantorovich inequality to $$n$$-operators via the geometric mean by Ando–Li–Mathias. Zbl 1126.47016
Yamazaki, Takeaki
2006
Multi-variable weighted geometric means of positive definite matrices. Zbl 1220.26024
Lee, Hosoo; Lim, Yongdo; Yamazaki, Takeaki
2011
On the polar decompositon of the Aluthge transformation and related results. Zbl 1104.47004
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2004
An extension of Specht’s theorem via Kantorovich inequality and related results. Zbl 0949.47017
Yamazaki, Takeaki
2000
Some properties of weighted operator means and characterizations of interpolational means. Zbl 1355.47009
Udagawa, Yoichi; Yamazaki, Takeaki; Yanagida, Masahiro
2017
On a new construction of geometric mean of $$n$$-operators. Zbl 1172.47017
Jung, Changdo; Lee, Hosoo; Yamazaki, Takeaki
2009
On the polar decomposition of the product of two operators and its applications. Zbl 1071.47503
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2004
On a family of operator means involving the power difference means. Zbl 1342.47025
Udagawa, Yoichi; Wada, Shuhei; Yamazaki, Takeaki; Yanagida, Masahiro
2015
An elementary proof of arithmetic-geometric mean inequality of the weighted Riemannian mean of positive definite matrices. Zbl 1260.15035
Yamazaki, Takeaki
2013
Parallelisms between Aluthge transformation and powers of operators. Zbl 1003.47010
Yamazaki, Takeaki
2001
A remark on support of the principal function for class A operators. Zbl 1135.47017
Chō, Muneo; Giga, Mariko; Huruya, Tadasi; Yamazaki, Takeaki
2007
Characterizations of $$\log A\geq\log B$$ and normaloid operators via Heinz inequality. Zbl 1018.47017
Yamazaki, Takeaki
2002
A further generalization of paranormal operators. Zbl 0958.47011
Yamazaki, Takeaki; Yanagida, Masahiro
2000
Extensions of the results on $$p$$-hyponormal and log-hyponormal operators by Aluthge and Wang. Zbl 0935.47016
Yamazaki, Takeaki
1999
Operator functions implying generalized Furuta inequality. Zbl 0899.47010
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results. Zbl 07096848
Yamazaki, Takeaki
2019
Norm inequalities for matrix geometric means of positive definite matrices. Zbl 1337.15018
Fujii, Jun Ichi; Seo, Yuki; Yamazaki, Takeaki
2016
Weighted geometric mean of $$n$$-operators with $$n$$-parameters. Zbl 1189.47019
Jung, Changdo; Lee, Hosoo; Lim, Yongdo; Yamazaki, Takeaki
2010
On generalized numerical range of the Aluthge transformation. Zbl 1033.15022
Ito, Masatoshi; Nakazato, Hiroshi; Okubo, Kazuyoshi; Yamazaki, Takeaki
2003
On powers of class $$A(k)$$ operators including $$p$$-hyponormal and log-hyponormal operators. Zbl 0954.47027
Yamazaki, Takeaki
2000
A converse of Loewner-Heinz inequality and applications to operator means. Zbl 1322.47027
Uchiyama, Mitsuru; Yamazaki, Takeaki
2014
Geometric properties of positive definite matrices cone with respect to the Thompson metric. Zbl 1221.15045
Ito, Masatoshi; Seo, Yuki; Yamazaki, Takeaki; Yanagida, Masahiro
2011
Hyponormal operators and two-isometry. Zbl 1225.47024
Chō, Muneo; Nakazi, Tkahiko; Yamazaki, Takeaki
2011
Characterizations of $$p$$-hyponormal and weak hyponormal weighted composition operators. Zbl 1261.47032
Chō, Muneo; Yamazaki, Takeaki
2010
On a geometric property of positive definite matrices cone. Zbl 1189.15030
Ito, Masatoshi; Seo, Yuki; Yamazaki, Takeaki; Yanagida, Masahiro
2009
On the operator equation $$AB = zBA$$. Zbl 1213.47022
Chō, Muneo; Lee, Jun Ik; Yamazaki, Takeaki
2009
Generalizations of results on relations between Furuta-type inequalities. Zbl 1051.47015
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2003
A characterization of log-hyponormal operators via $$p$$-paranormality. Zbl 0958.47010
Yamazaki, Takeaki; Yanagida, Masahiro
2000
Order preserving operator function via Furuta inequality “$$A\geq B\geq 0$$ ensures $$(A^{\frac{r}2}A^p A^{\frac{r}2})^{\frac{1+r}{p+r}}\geq(A^{\frac{r}2}B^p A^{\frac{r}2})^{\frac{1+r}{p+r}}$$ for $$p\geq 1$$ and $$r\geq 0$$”. Zbl 0951.47017
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
2000
On a conjecture related to Furuta-type inequalities with negative powers. Zbl 1014.47008
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
Equivalence relations among Furuta-Type inequalities with negative powers. Zbl 0947.47014
Furuta, Takayuki; Yamayaki, Takeaki; Yanagida, Masahiro
1998
Order preserving operator inequalities via Furuta inequality. Zbl 0922.47012
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results. Zbl 07096848
Yamazaki, Takeaki
2019
Some properties of weighted operator means and characterizations of interpolational means. Zbl 1355.47009
Udagawa, Yoichi; Yamazaki, Takeaki; Yanagida, Masahiro
2017
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
2016
Norm inequalities for matrix geometric means of positive definite matrices. Zbl 1337.15018
Fujii, Jun Ichi; Seo, Yuki; Yamazaki, Takeaki
2016
Cartesian decomposition and numerical radius inequalities. Zbl 1322.47008
2015
Some generalized numerical radius inequalities for Hilbert space operators. Zbl 1322.47010
Sattari, Mostafa; Moslehian, Mohammad Sal; Yamazaki, Takeaki
2015
On a family of operator means involving the power difference means. Zbl 1342.47025
Udagawa, Yoichi; Wada, Shuhei; Yamazaki, Takeaki; Yanagida, Masahiro
2015
A converse of Loewner-Heinz inequality and applications to operator means. Zbl 1322.47027
Uchiyama, Mitsuru; Yamazaki, Takeaki
2014
On some inequalities for the matrix power and Karcher means. Zbl 1260.15032
Lim, Yongdo; Yamazaki, Takeaki
2013
An elementary proof of arithmetic-geometric mean inequality of the weighted Riemannian mean of positive definite matrices. Zbl 1260.15035
Yamazaki, Takeaki
2013
The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order. Zbl 06084697
Yamazaki, Takeaki
2012
Multi-variable weighted geometric means of positive definite matrices. Zbl 1220.26024
Lee, Hosoo; Lim, Yongdo; Yamazaki, Takeaki
2011
Geometric properties of positive definite matrices cone with respect to the Thompson metric. Zbl 1221.15045
Ito, Masatoshi; Seo, Yuki; Yamazaki, Takeaki; Yanagida, Masahiro
2011
Hyponormal operators and two-isometry. Zbl 1225.47024
Chō, Muneo; Nakazi, Tkahiko; Yamazaki, Takeaki
2011
On an elementary operator with $$w$$-hyponormal operator entries. Zbl 1202.47037
Chō, M.; Djordjević, S. V.; Duggal, B. P.; Yamazaki, T.
2010
Weighted geometric mean of $$n$$-operators with $$n$$-parameters. Zbl 1189.47019
Jung, Changdo; Lee, Hosoo; Lim, Yongdo; Yamazaki, Takeaki
2010
Characterizations of $$p$$-hyponormal and weak hyponormal weighted composition operators. Zbl 1261.47032
Chō, Muneo; Yamazaki, Takeaki
2010
On a new construction of geometric mean of $$n$$-operators. Zbl 1172.47017
Jung, Changdo; Lee, Hosoo; Yamazaki, Takeaki
2009
On a geometric property of positive definite matrices cone. Zbl 1189.15030
Ito, Masatoshi; Seo, Yuki; Yamazaki, Takeaki; Yanagida, Masahiro
2009
On the operator equation $$AB = zBA$$. Zbl 1213.47022
Chō, Muneo; Lee, Jun Ik; Yamazaki, Takeaki
2009
On upper and lower bounds of the numerical radius and an equality condition. Zbl 1114.47003
Yamazaki, Takeaki
2007
A remark on support of the principal function for class A operators. Zbl 1135.47017
Chō, Muneo; Giga, Mariko; Huruya, Tadasi; Yamazaki, Takeaki
2007
An extension of Kantorovich inequality to $$n$$-operators via the geometric mean by Ando–Li–Mathias. Zbl 1126.47016
Yamazaki, Takeaki
2006
An operator transform from class A to the class of hyponormal operators and its application. Zbl 1098.47006
Chō, Muneo; Yamazaki, Takeaki
2005
On the polar decompositon of the Aluthge transformation and related results. Zbl 1104.47004
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2004
On the polar decomposition of the product of two operators and its applications. Zbl 1071.47503
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2004
The iterated Aluthge transforms of a 2-by-2 matrix converge. Zbl 1045.15015
Ando, T.; Yamazaki, T.
2003
On generalized numerical range of the Aluthge transformation. Zbl 1033.15022
Ito, Masatoshi; Nakazato, Hiroshi; Okubo, Kazuyoshi; Yamazaki, Takeaki
2003
Generalizations of results on relations between Furuta-type inequalities. Zbl 1051.47015
Ito, Masatoshi; Yamazaki, Takeaki; Yanagida, Masahiro
2003
An expression of spectral radius via Aluthge transformation. Zbl 1009.47010
Yamazaki, Takeaki
2002
Relations between two inequalities $$(B^{\frac r2} A^p B^{\frac r2})^{\frac r{p+r}}\geq B^r$$ and $$A^p\geq(A^{\frac p2} B^r A^{\frac p2})^{\frac p{p+r}}$$ and their applications. Zbl 1028.47013
Ito, Masatoshi; Yamazaki, Takeaki
2002
On numerical range of the Aluthge transformation. Zbl 1021.47004
Yamazaki, Takeaki
2002
Characterizations of $$\log A\geq\log B$$ and normaloid operators via Heinz inequality. Zbl 1018.47017
Yamazaki, Takeaki
2002
Parallelisms between Aluthge transformation and powers of operators. Zbl 1003.47010
Yamazaki, Takeaki
2001
An extension of Specht’s theorem via Kantorovich inequality and related results. Zbl 0949.47017
Yamazaki, Takeaki
2000
A further generalization of paranormal operators. Zbl 0958.47011
Yamazaki, Takeaki; Yanagida, Masahiro
2000
On powers of class $$A(k)$$ operators including $$p$$-hyponormal and log-hyponormal operators. Zbl 0954.47027
Yamazaki, Takeaki
2000
A characterization of log-hyponormal operators via $$p$$-paranormality. Zbl 0958.47010
Yamazaki, Takeaki; Yanagida, Masahiro
2000
Order preserving operator function via Furuta inequality “$$A\geq B\geq 0$$ ensures $$(A^{\frac{r}2}A^p A^{\frac{r}2})^{\frac{1+r}{p+r}}\geq(A^{\frac{r}2}B^p A^{\frac{r}2})^{\frac{1+r}{p+r}}$$ for $$p\geq 1$$ and $$r\geq 0$$”. Zbl 0951.47017
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
2000
Simplified proof of Tanahashi’s result on the best possibility of generalized Furuta inequality. Zbl 0938.47015
Yamazaki, Takeaki
1999
Characterizations of chaotic order associated with Kantorovich inequality. Zbl 0951.47019
Yamazaki, Takeaki; Yanagida, Masahiro
1999
Extensions of the results on $$p$$-hyponormal and log-hyponormal operators by Aluthge and Wang. Zbl 0935.47016
Yamazaki, Takeaki
1999
A subclass of paranormal operators including class of log-hyponormal and several related classes. Zbl 0936.47009
Furuta, Takayuki; Ito, Masatoshi; Yamazaki, Takeaki
1998
Operator functions implying generalized Furuta inequality. Zbl 0899.47010
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
On a conjecture related to Furuta-type inequalities with negative powers. Zbl 1014.47008
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
Equivalence relations among Furuta-Type inequalities with negative powers. Zbl 0947.47014
Furuta, Takayuki; Yamayaki, Takeaki; Yanagida, Masahiro
1998
Order preserving operator inequalities via Furuta inequality. Zbl 0922.47012
Furuta, Takayuki; Yamazaki, Takeaki; Yanagida, Masahiro
1998
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#### Cited by 232 Authors

 16 Lim, Yongdo 16 Seo, Yuki 16 Yamazaki, Takeaki 15 Moslehian, Mohammad Sal 13 Kittaneh, Fuad 9 Duggal, Bhagwati Prashad 9 Furuta, Takayuki 9 Hiai, Fumio 8 Rashid, Mohammad Hussein Mohammad 8 Zamani, Ali 7 Chabbabi, Fadil 7 Fujii, Jun Ichi 7 Ito, Masatoshi 7 Shebrawi, Khalid 6 Abu-Omar, Amer 6 Aiena, Pietro 6 Bhunia, Pintu 6 Gao, Fugen 6 Jung, Il Bong 6 Kim, Sejong 6 Lee, Hosoo 6 Mbekhta, Mostafa 6 Paul, Kallol 5 Dinh Trung Hoa 5 Fujii, Masatoshi 5 Jeon, In Ho 5 Xu, Qingxiang 5 Yang, Changsen 5 Yoon, Jasang 5 Yuan, Jiangtao 4 Bag, Santanu 4 Bakherad, Mojtaba 4 Curto, Raúl Enrique 4 Kim, In Hyoun 4 Ko, Eungil 4 Li, Xiaochun 4 Pálfia, Miklós 4 Sahoo, Satyajit 4 Wada, Shuhei 3 Antezana, Jorge 3 Bourin, Jean-Christophe 3 Braha, Naim Latif 3 Dumitru, Raluca 3 Feki, Kais 3 Franco, Jose A. 3 Gao, Zongsheng 3 Garayev, Mübariz Tapdıgoğlu 3 Guillen, Jesús R. 3 Kubrusly, Carlos S. 3 Lee, Sanghoon 3 Mecheri, Salah 3 Mishra, Debasisha 3 Pečarić, Josip 3 Sababheh, Mohamad Suboh 3 Sattari, Mostafa 3 Stojanoff, Demetrio 3 Yamanci, Ulas 3 Yanagida, Masahiro 2 Amouch, Mohamed 2 Amyari, Maryam 2 Benhida, Chafiq 2 Berkani, Mohammed 2 Bhatia, Rajendra 2 Burnap, Charles 2 Cao, Xiaohong 2 Das, Namita 2 Djordjević, Slaviša V. 2 Exner, George R. 2 Fang, Xiaochun 2 Fu, Chunhong 2 Hoxha, Ilmi 2 Jain, Tanvi 2 Jung, Sungeun 2 Kamei, Eizaburo 2 Kian, Mohsen 2 Lee, Eun-Young 2 Lee, Mi Ryeong 2 Lemos, Rute 2 Liu, Na 2 Luo, Wei 2 Mehrazin, Marzieh 2 Mićić, Jadranka 2 Nakamoto, Ritsuo 2 Nakazato, Hiroshi 2 Okubo, Kazuyoshi 2 Omidvar, Mohsen Erfanian 2 Osaka, Hiroyuki 2 Park, Sangsoo 2 Peña, Pedro 2 Pereira Soares, Maria da Graca 2 Petz, Dénes 2 Pujals, Enrique Ramiro 2 Rout, Nirmal Chandra 2 Sababheh, Mohammed 2 Spitkovsky, Ilya Matvey 2 Tam, Tin-Yau 2 Tanahashi, Kôtarô 2 Wang, Caihong 2 Wu, Peiyuan 2 Zamani, Ali Reza ...and 132 more Authors
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#### Cited in 68 Serials

 73 Linear Algebra and its Applications 25 Journal of Mathematical Analysis and Applications 19 Linear and Multilinear Algebra 11 Journal of Inequalities and Applications 9 Advances in Operator Theory 8 Mediterranean Journal of Mathematics 7 Integral Equations and Operator Theory 6 Banach Journal of Mathematical Analysis 6 Annals of Functional Analysis 5 Proceedings of the American Mathematical Society 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Positivity 4 Journal of Mathematical Inequalities 3 Advances in Mathematics 3 Acta Mathematica Sinica. English Series 3 Complex Analysis and Operator Theory 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 Bulletin of the Iranian Mathematical Society 2 Abstract and Applied Analysis 2 Mathematical Inequalities & Applications 2 Communications of the Korean Mathematical Society 2 Operators and Matrices 2 Functional Analysis, Approximation and Computation 2 Afrika Matematika 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Kyungpook Mathematical Journal 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Forum Mathematicum 1 International Journal of Mathematics 1 Aequationes Mathematicae 1 Expositiones Mathematicae 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 New Zealand Journal of Mathematics 1 Turkish Journal of Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Lobachevskii Journal of Mathematics 1 Applied Mathematics E-Notes 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Central European Journal of Mathematics 1 Thai Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 Asian-European Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 Open Mathematics 1 Cogent Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Korean Journal of Mathematics
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#### Cited in 24 Fields

 223 Operator theory (47-XX) 67 Linear and multilinear algebra; matrix theory (15-XX) 27 Functional analysis (46-XX) 18 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)