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Popov, Mykhaĭlo Mykhaĭlovych

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Author ID: popov.mikhail-m Recent zbMATH articles by "Popov, Mykhaĭlo Mykhaĭlovych"
Published as: Popov, M. M.; Popov, Mikhail; Popov, Mikhail M.; Popov, M.; Popov, Mykhaylo M.; Popov, Mihail M.; Popov, Mykhaylo
Further Spellings: Попов Михаил Михайлович; Попов Михайло Михайлович
Homepage: http://testuvannya.com.ua/mpopov/
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 86 Publications since 1983, including 1 Book
1 Further Contribution
Reviewing Activity: 67 Reviews
Co-Authors: 45 Co-Authors with 58 Joint Publications
1,432 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 311 times in 126 Documents Cited by Year
Symmetric function spaces on atomless probability spaces. Zbl 0715.46011
Plichko, Anatolij M.; Popov, Mikhail M.
38
1990
Narrow operators on function spaces and vector lattices. Zbl 1258.47002
Popov, Mikhail; Randrianantoanina, Beata
34
2013
A lattice approach to narrow operators. Zbl 1183.47033
Maslyuchenko, Olexandr V.; Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
31
2009
Narrow orthogonally additive operators. Zbl 1331.47078
Pliev, Marat; Popov, Mikhail
29
2014
Dividing measures and narrow operators. Zbl 1360.47011
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail; Sobchuk, Oleksandr
16
2015
The lateral order on Riesz spaces and orthogonally additive operators. Zbl 1476.46002
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail
14
2021
On extension of abstract Urysohn operators. Zbl 1502.47073
Pliev, M. A.; Popov, M. M.
13
2016
On sums of narrow operators on Köthe function spaces. Zbl 1316.47034
Mykhaylyuk, V. V.; Popov, M. M.
12
2013
Extensions of orthogonally additive operators. Zbl 1321.47115
Gumenchuk, A. V.; Pliev, M. A.; Popov, M. M.
12
2014
On sums of narrow and compact operators. Zbl 1501.47055
Fotiy, O.; Gumenchuk, A.; Krasikova, I.; Popov, M.
11
2020
Narrow operators (a survey). Zbl 1244.47020
Popov, Mikhail
10
2011
On the numerical index of real \(L_p (\mu)\)-spaces. Zbl 1257.46008
Martín, Miguel; Merí, Javier; Popov, Mikhail
9
2011
Complemented subspaces and some problems of the modern geometry of Banach spaces. Zbl 1246.46014
Popov, M. M.
8
2008
Some stability theorems on narrow operators acting in \(L_1\) and \(C(K)\). Zbl 1069.46006
Kadets, V. M.; Popov, M. M.
7
2003
On integrability in \(F\)-spaces. Zbl 0803.46004
Popov, Mikhail M.
6
1994
Numerical index of absolute sums of Banach spaces. Zbl 1216.46014
Martín, Miguel; Merí, Javier; Popov, Mikhail; Randrianantoanina, Beata
6
2011
On the Liapunov convexity theorem with applications to sign-embeddings. Zbl 0791.46020
Kadets, V. M.; Popov, M. M.
5
1992
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
5
2014
A hereditarily \(\ell_1\) subspace of \(L_1\) without the Schur property. Zbl 1080.46007
Popov, M. M.
4
2005
An exact Daugavet type inequality for small into isomorphisms in \(L_{1}\). Zbl 1155.46004
Popov, M. M.
4
2008
The Daugavet property for narrow operators in rich subspaces of \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0881.47017
Kadets, V. M.; Popov, M. M.
4
1996
Some open problems on functional analysis. Zbl 1092.46500
4
2005
The polynomial Daugavet property for atomless \(L_{1}(\mu)\)-spaces. Zbl 1201.46012
Martín, Miguel; Merí, Javier; Popov, Mikhail
4
2010
Horizontal Egorov property of Riesz spaces. Zbl 1469.46003
Popov, Mikhail
4
2021
Measurable Riesz spaces. Zbl 1478.46006
Krasikova, I.; Pliev, M.; Popov, M.
3
2021
On the “function” and “lattice” definitions of a narrow operator. Zbl 1397.46016
Popov, Mikhail; Sobchuk, Oleksandr
3
2018
Schauder bases which are conditional in each hyperoctant. Zbl 0668.46005
Kadets, V. M.; Popov, M. M.
3
1987
On the numerical radius of operators in Lebesgue spaces. Zbl 1237.47006
Martín, Miguel; Merí, Javier; Popov, Mikhail
3
2011
Projection lateral bands and lateral retracts. Zbl 1470.46006
Kamińska, A.; Krasikova, I.; Popov, M.
3
2020
Some open problems on the classical function space \(L_1\). Zbl 1094.46502
Martínez-Abejón, A.; Odell, E.; Popov, M. M.
2
2005
Codimension of subspaces of \(L_ p(\mu)\) for \(p<1\). Zbl 0561.46017
Popov, M. M.
2
1984
An elementary proof for the absence of nontrivial compact operators defined on the space \(L_ p\), \(0<p<1\). Zbl 0733.47019
Popov, M. M.
2
1990
Decomposition theorems for operators on \(L_1\) and their generalizations to vector lattices. Zbl 1104.46002
Maslyuchenko, O. V.; Mykhailyuk, V. V.; Popov, M. M.
2
2006
On sums of strictly narrow operators acting from a Riesz space to a Banach space. Zbl 1475.47023
Maslyuchenko, Oleksandr; Popov, Mikhail
2
2019
Order continuity of orthogonally additive operators. Zbl 07423452
Fotiy, O.; Krasikova, I.; Pliev, M.; Popov, M.
2
2022
Order Schauder bases in Banach lattices. Zbl 1323.46015
Gumenchuk, Anna; Karlova, Olena; Popov, Mikhail
2
2015
Geometric entropy in Banach spaces. Zbl 1340.46025
Dorogovtsev, Andrey; Popov, Mikhail
2
2014
Some problems on narrow operators on function spaces. Zbl 1293.46013
Popov, Mikhail M.; Semenov, Evgenii M.; Vatsek, Diana O.
2
2014
Banach lattices of orthogonally additive operators. Zbl 1500.46017
Popov, Mikhail
2
2022
The pseudo-Daugavet property for narrow projections in Lorentz spaces. Zbl 1030.46027
Popov, Mihail M.; Randrianantoanina, Beata
1
2002
Norms of projections in \(L_ p(\mu)\) with “small” kernels. Zbl 0628.46023
Popov, M. M.
1
1987
A property of convex basic sequences in \(L_1\). Zbl 1095.46006
Popov, M. M.
1
2005
Daugavet type inequalities for narrow operators in the space \(L_1\). Zbl 1056.46013
Popov, M. M.
1
2003
On the calculation of the Morse index and the extension of ray formulas beyond caustics. Zbl 1393.78003
Popov, M. M.
1
2017
More examples of hereditarily \(\ell_p\) Banach spaces. Zbl 1166.46304
Popov, Mikhail M.
1
2005
Some geometric aspects of operators acting from \(L_{1}\). Zbl 1110.46011
Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
1
2006
An isomorphic classification of the spaces \(L_ p(\mu)\) for \(0<p<1\). Zbl 0695.46008
Popov, M. M.
1
1990
On the sum of a narrow and a finite rank operator on vector lattices. Zbl 1374.46021
Gumenchuk, G. I.; Popov, M. M.
1
2017
On order structure and operators in \(L_{\infty }(\mu)\). Zbl 1198.47051
Krasikova, Irina; Martín, Miguel; Merí, Javier; Mykhaylyuk, Vladimir; Popov, Mikhail
1
2009
Points of narrowness and uniformly narrow operators. Zbl 1379.46006
Gumenchuk, A. I.; Krasikova, I. V.; Popov, M. M.
1
2017
On a type of complete minimal system in Banach spaces. Zbl 0663.46008
Kadets, V. M.; Plichko, A. N.; Popov, M. M.
1
1988
Order continuity of orthogonally additive operators. Zbl 07423452
Fotiy, O.; Krasikova, I.; Pliev, M.; Popov, M.
2
2022
Banach lattices of orthogonally additive operators. Zbl 1500.46017
Popov, Mikhail
2
2022
The lateral order on Riesz spaces and orthogonally additive operators. Zbl 1476.46002
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail
14
2021
Horizontal Egorov property of Riesz spaces. Zbl 1469.46003
Popov, Mikhail
4
2021
Measurable Riesz spaces. Zbl 1478.46006
Krasikova, I.; Pliev, M.; Popov, M.
3
2021
On sums of narrow and compact operators. Zbl 1501.47055
Fotiy, O.; Gumenchuk, A.; Krasikova, I.; Popov, M.
11
2020
Projection lateral bands and lateral retracts. Zbl 1470.46006
Kamińska, A.; Krasikova, I.; Popov, M.
3
2020
On sums of strictly narrow operators acting from a Riesz space to a Banach space. Zbl 1475.47023
Maslyuchenko, Oleksandr; Popov, Mikhail
2
2019
On the “function” and “lattice” definitions of a narrow operator. Zbl 1397.46016
Popov, Mikhail; Sobchuk, Oleksandr
3
2018
On the calculation of the Morse index and the extension of ray formulas beyond caustics. Zbl 1393.78003
Popov, M. M.
1
2017
On the sum of a narrow and a finite rank operator on vector lattices. Zbl 1374.46021
Gumenchuk, G. I.; Popov, M. M.
1
2017
Points of narrowness and uniformly narrow operators. Zbl 1379.46006
Gumenchuk, A. I.; Krasikova, I. V.; Popov, M. M.
1
2017
On extension of abstract Urysohn operators. Zbl 1502.47073
Pliev, M. A.; Popov, M. M.
13
2016
Dividing measures and narrow operators. Zbl 1360.47011
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail; Sobchuk, Oleksandr
16
2015
Order Schauder bases in Banach lattices. Zbl 1323.46015
Gumenchuk, Anna; Karlova, Olena; Popov, Mikhail
2
2015
Narrow orthogonally additive operators. Zbl 1331.47078
Pliev, Marat; Popov, Mikhail
29
2014
Extensions of orthogonally additive operators. Zbl 1321.47115
Gumenchuk, A. V.; Pliev, M. A.; Popov, M. M.
12
2014
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
5
2014
Geometric entropy in Banach spaces. Zbl 1340.46025
Dorogovtsev, Andrey; Popov, Mikhail
2
2014
Some problems on narrow operators on function spaces. Zbl 1293.46013
Popov, Mikhail M.; Semenov, Evgenii M.; Vatsek, Diana O.
2
2014
Narrow operators on function spaces and vector lattices. Zbl 1258.47002
Popov, Mikhail; Randrianantoanina, Beata
34
2013
On sums of narrow operators on Köthe function spaces. Zbl 1316.47034
Mykhaylyuk, V. V.; Popov, M. M.
12
2013
Narrow operators (a survey). Zbl 1244.47020
Popov, Mikhail
10
2011
On the numerical index of real \(L_p (\mu)\)-spaces. Zbl 1257.46008
Martín, Miguel; Merí, Javier; Popov, Mikhail
9
2011
Numerical index of absolute sums of Banach spaces. Zbl 1216.46014
Martín, Miguel; Merí, Javier; Popov, Mikhail; Randrianantoanina, Beata
6
2011
On the numerical radius of operators in Lebesgue spaces. Zbl 1237.47006
Martín, Miguel; Merí, Javier; Popov, Mikhail
3
2011
The polynomial Daugavet property for atomless \(L_{1}(\mu)\)-spaces. Zbl 1201.46012
Martín, Miguel; Merí, Javier; Popov, Mikhail
4
2010
A lattice approach to narrow operators. Zbl 1183.47033
Maslyuchenko, Olexandr V.; Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
31
2009
On order structure and operators in \(L_{\infty }(\mu)\). Zbl 1198.47051
Krasikova, Irina; Martín, Miguel; Merí, Javier; Mykhaylyuk, Vladimir; Popov, Mikhail
1
2009
Complemented subspaces and some problems of the modern geometry of Banach spaces. Zbl 1246.46014
Popov, M. M.
8
2008
An exact Daugavet type inequality for small into isomorphisms in \(L_{1}\). Zbl 1155.46004
Popov, M. M.
4
2008
Decomposition theorems for operators on \(L_1\) and their generalizations to vector lattices. Zbl 1104.46002
Maslyuchenko, O. V.; Mykhailyuk, V. V.; Popov, M. M.
2
2006
Some geometric aspects of operators acting from \(L_{1}\). Zbl 1110.46011
Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
1
2006
A hereditarily \(\ell_1\) subspace of \(L_1\) without the Schur property. Zbl 1080.46007
Popov, M. M.
4
2005
Some open problems on functional analysis. Zbl 1092.46500
4
2005
Some open problems on the classical function space \(L_1\). Zbl 1094.46502
Martínez-Abejón, A.; Odell, E.; Popov, M. M.
2
2005
A property of convex basic sequences in \(L_1\). Zbl 1095.46006
Popov, M. M.
1
2005
More examples of hereditarily \(\ell_p\) Banach spaces. Zbl 1166.46304
Popov, Mikhail M.
1
2005
Some stability theorems on narrow operators acting in \(L_1\) and \(C(K)\). Zbl 1069.46006
Kadets, V. M.; Popov, M. M.
7
2003
Daugavet type inequalities for narrow operators in the space \(L_1\). Zbl 1056.46013
Popov, M. M.
1
2003
The pseudo-Daugavet property for narrow projections in Lorentz spaces. Zbl 1030.46027
Popov, Mihail M.; Randrianantoanina, Beata
1
2002
The Daugavet property for narrow operators in rich subspaces of \(C[0,1]\) and \(L_ 1[0,1]\). Zbl 0881.47017
Kadets, V. M.; Popov, M. M.
4
1996
On integrability in \(F\)-spaces. Zbl 0803.46004
Popov, Mikhail M.
6
1994
On the Liapunov convexity theorem with applications to sign-embeddings. Zbl 0791.46020
Kadets, V. M.; Popov, M. M.
5
1992
Symmetric function spaces on atomless probability spaces. Zbl 0715.46011
Plichko, Anatolij M.; Popov, Mikhail M.
38
1990
An elementary proof for the absence of nontrivial compact operators defined on the space \(L_ p\), \(0<p<1\). Zbl 0733.47019
Popov, M. M.
2
1990
An isomorphic classification of the spaces \(L_ p(\mu)\) for \(0<p<1\). Zbl 0695.46008
Popov, M. M.
1
1990
On a type of complete minimal system in Banach spaces. Zbl 0663.46008
Kadets, V. M.; Plichko, A. N.; Popov, M. M.
1
1988
Schauder bases which are conditional in each hyperoctant. Zbl 0668.46005
Kadets, V. M.; Popov, M. M.
3
1987
Norms of projections in \(L_ p(\mu)\) with “small” kernels. Zbl 0628.46023
Popov, M. M.
1
1987
Codimension of subspaces of \(L_ p(\mu)\) for \(p<1\). Zbl 0561.46017
Popov, M. M.
2
1984
all top 5

Cited by 126 Authors

29 Pliev, Marat Amurkhanovich
20 Popov, Mykhaĭlo Mykhaĭlovych
10 Mykhaylyuk, Volodymyr V.
8 Abasov, Nariman Magamedovich
6 Martín Suarez, Miguel
6 Ostrovska, Sofiya
5 Merí, Javier
5 Sukochev, Fedor Anatol’evich
4 Maslyuchenko, Oleksandr Volodymyrovych
3 Aksoy, Asuman Güven
3 Kadets’, Volodymyr Mykhaĭlovych
3 Kim, Sun Kwang
3 Lewicki, Grzegorz
3 Santos, Elisa R.
3 Shvydkoy, Roman V.
3 Sobchuk, Oleksandr V.
3 Weber, Martin R.
2 Albiac, Fernando
2 Ansorena, José Luis
2 Astashkin, Sergeĭ Vladimir
2 Croitoru, Anca
2 Erkurşun Özcan, Nazife
2 Gavrilut, Alina Cristiana
2 Huang, Jinghao
2 Ivashyna, Tetiana V.
2 Kąkol, Jerzy
2 Kalenda, Ondřej F. K.
2 Kulaev, Ruslan Chermenovich
2 Lee, Han Ju
2 Özban, Ahmet Yasar
2 Plichko, Anatoliĭ Mykolaĭovych
2 Randrianantoanina, Beata
2 Semënov, Evgeniĭ Mikhaĭlovich
2 Taylor, Mitchell A.
1 Ahmadi, Alireza
1 Ahmadi, Ledari Alireza
1 Askhabov, Sultan Nazhmudinovich
1 Aydin, Abdullah
1 Azimi, Parviz
1 Basaeva, Elena K.
1 Baziv, N. M.
1 Botelho, Geraldo
1 Calabuig, José Manuel
1 Candeloro, Domenico
1 Chica, Mario
1 Chitescu, Ion
1 Demazeux, R.
1 Dilworth, Stephen J.
1 Dorogovtsev, Andriĭ Anatoliĭovych
1 Dzadzaeva, Dina
1 Dzhusoeva, Nonna Anatol’evna
1 Emel’yanov, Èduard Yur’evich
1 Fang, Xiaochun
1 Ferrando, Juan Carlos
1 Fetter Nathansky, Helga Andrea
1 Flores, Julio
1 Fomin, N. P.
1 Fotij, O. G.
1 Freeman, Daniel H. jun.
1 Gamboa de Buen, Berta
1 García, Domingo
1 Gumenchuk, A. I.
1 Gumenchuk, Anna
1 Hernández Rodriguez, Francisco L.
1 Hrybel, O. B.
1 Humenchuk, H. I.
1 Iosif, Alina Emilia
1 Itarova, Svetlana Yur’evna
1 Izyumtseva, Olga
1 Jiménez Fernández, Eduardo
1 Juan, M. A.
1 Kadets, Liudmyla
1 Karlova, Olena O.
1 Kaşkaloğlu, Kerem
1 Kazarian, Kazaros S.
1 Kholomenyuk, Violetta
1 Kim, Sung Guen
1 Krasikova, Irina
1 Kusraev, Anatoly Georgievich
1 Kutzarova, Denka N.
1 Ledari, Alireza Ahmadi
1 Levitina, Galina Borisovna
1 López Pellicer, Manuel
1 Maestre, Manuel
1 Maligranda, Lech
1 Marabeh, Mohammed A. A.
1 Martínez-Abejón, Antonio
1 Monika, K.
1 Moslehian, Mohammad Sal
1 Mykhaylyuk, Vladimir
1 Novikova, Anna
1 Oikhberg, Timur
1 Orlov, Vladimir P.
1 Ostrovskii, Mikhail Iosifovich
1 Polat, Faruk
1 Powell, Alexander M.
1 Quero, Alicia
1 Ramdane, Kawtar
1 Rode, Dmitry
1 Roldán, Óscar
...and 26 more Authors
all top 5

Cited in 47 Serials

14 Journal of Mathematical Analysis and Applications
12 Positivity
7 Journal of Functional Analysis
7 Central European Journal of Mathematics
5 Archiv der Mathematik
5 Proceedings of the American Mathematical Society
5 Results in Mathematics
4 Mediterranean Journal of Mathematics
4 Banach Journal of Mathematical Analysis
3 Linear and Multilinear Algebra
3 Mathematical Notes
3 Studia Mathematica
3 Ukrainian Mathematical Journal
3 Journal of Mathematical Sciences (New York)
3 Abstract and Applied Analysis
3 Journal of Function Spaces
2 Israel Journal of Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Siberian Mathematical Journal
2 Russian Mathematics
2 Matematychni Studiï
2 Lobachevskii Journal of Mathematics
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Computers & Mathematics with Applications
1 Journal of Geometry and Physics
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Gaṇita
1 Mathematische Annalen
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Mathematical and Computer Modelling
1 Glasnik Matematički. Serija III
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Indagationes Mathematicae. New Series
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Acta Mathematica Sinica. English Series
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Journal of Function Spaces and Applications
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Stochastics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Carpathian Mathematical Publications
1 Sahand Communications in Mathematical Analysis

Citations by Year