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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, M.; Popov, Mikhail M.; Popov, Mykhaylo M.; Popov, Mihail M.; Popov, Mykhaylo
Homepage: http://testuvannya.com.ua/mpopov/
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 80 Publications since 1983, including 1 Book
Reviewing Activity: 63 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 264 times in 108 Documents Cited by Year
Symmetric function spaces on atomless probability spaces. Zbl 0715.46011
Plichko, Anatolij M.; Popov, Mikhail M.
33
1990
Narrow operators on function spaces and vector lattices. Zbl 1258.47002
Popov, Mikhail; Randrianantoanina, Beata
28
2013
A lattice approach to narrow operators. Zbl 1183.47033
Maslyuchenko, Olexandr V.; Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
26
2009
Narrow orthogonally additive operators. Zbl 1331.47078
Pliev, Marat; Popov, Mikhail
24
2014
Dividing measures and narrow operators. Zbl 1360.47011
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail; Sobchuk, Oleksandr
13
2015
Extensions of orthogonally additive operators. Zbl 1321.47115
Gumenchuk, A. V.; Pliev, M. A.; Popov, M. M.
11
2014
On sums of narrow operators on Köthe function spaces. Zbl 1316.47034
Mykhaylyuk, V. V.; Popov, M. M.
10
2013
Narrow operators (a survey). Zbl 1244.47020
Popov, Mikhail
9
2011
On sums of narrow and compact operators. Zbl 07172083
Fotiy, O.; Gumenchuk, A.; Krasikova, I.; Popov, M.
8
2020
On extension of abstract Urysohn operators. Zbl 06630917
Pliev, M. A.; Popov, M. M.
8
2016
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 the numerical index of real \(L_p (\mu)\)-spaces. Zbl 1257.46008
Martín, Miguel; Merí, Javier; Popov, Mikhail
7
2011
Numerical index of absolute sums of Banach spaces. Zbl 1216.46014
Martín, Miguel; Merí, Javier; Popov, Mikhail; Randrianantoanina, Beata
6
2011
On integrability in \(F\)-spaces. Zbl 0803.46004
Popov, Mikhail M.
5
1994
The lateral order on Riesz spaces and orthogonally additive operators. Zbl 07345571
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail
5
2021
An exact Daugavet type inequality for small into isomorphisms in \(L_{1}\). Zbl 1155.46004
Popov, M. M.
4
2008
A hereditarily \(\ell_1\) subspace of \(L_1\) without the Schur property. Zbl 1080.46007
Popov, M. M.
4
2005
On the Liapunov convexity theorem with applications to sign-embeddings. Zbl 0791.46020
Kadets, V. M.; Popov, M. M.
4
1992
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
The polynomial Daugavet property for atomless \(L_{1}(\mu)\)-spaces. Zbl 1201.46012
Martín, Miguel; Merí, Javier; Popov, Mikhail
3
2010
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
3
2014
Schauder bases which are conditional in each hyperoctant. Zbl 0668.46005
Kadets, V. M.; Popov, M. M.
3
1987
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 the numerical radius of operators in Lebesgue spaces. Zbl 1237.47006
Martín, Miguel; Merí, Javier; Popov, Mikhail
2
2011
Codimension of subspaces of \(L_ p(\mu)\) for \(p<1\). Zbl 0561.46017
Popov, M. M.
2
1984
Order Schauder bases in Banach lattices. Zbl 1323.46015
Gumenchuk, Anna; Karlova, Olena; Popov, Mikhail
2
2015
On sums of strictly narrow operators acting from a Riesz space to a Banach space. Zbl 07076555
Maslyuchenko, Oleksandr; Popov, Mikhail
2
2019
On the “function” and “lattice” definitions of a narrow operator. Zbl 1397.46016
Popov, Mikhail; Sobchuk, Oleksandr
2
2018
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
Measurable Riesz spaces. Zbl 07382432
Krasikova, I.; Pliev, M.; Popov, M.
1
2021
Geometric entropy in Banach spaces. Zbl 1340.46025
Dorogovtsev, Andrey; Popov, Mikhail
1
2014
On order structure and operators in \(L_{\infty }(\mu)\). Zbl 1198.47051
Krasikova, Irina; Martín, Miguel; Merí, Javier; Mykhaylyuk, Vladimir; Popov, Mikhail
1
2009
A property of convex basic sequences in \(L_1\). Zbl 1095.46006
Popov, M. M.
1
2005
Some open problems on the classical function space \(L_1\). Zbl 1094.46502
Martínez-Abejón, A.; Odell, E.; Popov, M. M.
1
2005
The pseudo-Daugavet property for narrow projections in Lorentz spaces. Zbl 1030.46027
Popov, Mihail M.; Randrianantoanina, Beata
1
2002
Daugavet type inequalities for narrow operators in the space \(L_1\). Zbl 1056.46013
Popov, M. M.
1
2003
Norms of projections in \(L_ p(\mu)\) with “small” kernels. Zbl 0628.46023
Popov, M. M.
1
1987
On a type of complete minimal system in Banach spaces. Zbl 0663.46008
Kadets, V. M.; Plichko, A. N.; Popov, M. M.
1
1988
An isomorphic classification of the spaces \(L_ p(\mu)\) for \(0<p<1\). Zbl 0695.46008
Popov, M. M.
1
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.
1
1990
Some problems on narrow operators on function spaces. Zbl 1293.46013
Popov, Mikhail M.; Semenov, Evgenii M.; Vatsek, Diana O.
1
2014
Horizontal Egorov property of Riesz spaces. Zbl 1469.46003
Popov, Mikhail
1
2021
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
Projection lateral bands and lateral retracts. Zbl 1470.46006
Kamińska, A.; Krasikova, I.; Popov, M.
1
2020
The lateral order on Riesz spaces and orthogonally additive operators. Zbl 07345571
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail
5
2021
Measurable Riesz spaces. Zbl 07382432
Krasikova, I.; Pliev, M.; Popov, M.
1
2021
Horizontal Egorov property of Riesz spaces. Zbl 1469.46003
Popov, Mikhail
1
2021
On sums of narrow and compact operators. Zbl 07172083
Fotiy, O.; Gumenchuk, A.; Krasikova, I.; Popov, M.
8
2020
Projection lateral bands and lateral retracts. Zbl 1470.46006
Kamińska, A.; Krasikova, I.; Popov, M.
1
2020
On sums of strictly narrow operators acting from a Riesz space to a Banach space. Zbl 07076555
Maslyuchenko, Oleksandr; Popov, Mikhail
2
2019
On the “function” and “lattice” definitions of a narrow operator. Zbl 1397.46016
Popov, Mikhail; Sobchuk, Oleksandr
2
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 06630917
Pliev, M. A.; Popov, M. M.
8
2016
Dividing measures and narrow operators. Zbl 1360.47011
Mykhaylyuk, Volodymyr; Pliev, Marat; Popov, Mikhail; Sobchuk, Oleksandr
13
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
24
2014
Extensions of orthogonally additive operators. Zbl 1321.47115
Gumenchuk, A. V.; Pliev, M. A.; Popov, M. M.
11
2014
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024
Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G.
3
2014
Geometric entropy in Banach spaces. Zbl 1340.46025
Dorogovtsev, Andrey; Popov, Mikhail
1
2014
Some problems on narrow operators on function spaces. Zbl 1293.46013
Popov, Mikhail M.; Semenov, Evgenii M.; Vatsek, Diana O.
1
2014
Narrow operators on function spaces and vector lattices. Zbl 1258.47002
Popov, Mikhail; Randrianantoanina, Beata
28
2013
On sums of narrow operators on Köthe function spaces. Zbl 1316.47034
Mykhaylyuk, V. V.; Popov, M. M.
10
2013
Narrow operators (a survey). Zbl 1244.47020
Popov, Mikhail
9
2011
On the numerical index of real \(L_p (\mu)\)-spaces. Zbl 1257.46008
Martín, Miguel; Merí, Javier; Popov, Mikhail
7
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
2
2011
The polynomial Daugavet property for atomless \(L_{1}(\mu)\)-spaces. Zbl 1201.46012
Martín, Miguel; Merí, Javier; Popov, Mikhail
3
2010
A lattice approach to narrow operators. Zbl 1183.47033
Maslyuchenko, Olexandr V.; Mykhaylyuk, Volodymyr V.; Popov, Mykhaylo M.
26
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
More examples of hereditarily \(\ell_p\) Banach spaces. Zbl 1166.46304
Popov, Mikhail M.
1
2005
A property of convex basic sequences in \(L_1\). Zbl 1095.46006
Popov, M. M.
1
2005
Some open problems on the classical function space \(L_1\). Zbl 1094.46502
Martínez-Abejón, A.; Odell, E.; Popov, M. 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.
5
1994
On the Liapunov convexity theorem with applications to sign-embeddings. Zbl 0791.46020
Kadets, V. M.; Popov, M. M.
4
1992
Symmetric function spaces on atomless probability spaces. Zbl 0715.46011
Plichko, Anatolij M.; Popov, Mikhail M.
33
1990
An isomorphic classification of the spaces \(L_ p(\mu)\) for \(0<p<1\). Zbl 0695.46008
Popov, M. M.
1
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.
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 110 Authors

23 Pliev, Marat Amurkhanovich
19 Popov, Mykhaĭlo Mykhaĭlovych
10 Mykhaylyuk, Volodymyr V.
8 Abasov, Nariman Magamedovich
6 Ostrovska, Sofiya
5 Martín Suarez, Miguel
5 Merí, Javier
4 Maslyuchenko, Oleksandr Volodymyrovych
3 Aksoy, Asuman Güven
3 Kadets, Vladimir M.
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 Gavrilut, Alina Cristiana
2 Ivashyna, Tetiana V.
2 Kąkol, Jerzy
2 Kalenda, Ondřej F. K.
2 Lee, Han Ju
2 Özban, Ahmet Yasar
2 Plichko, Anatoliĭ Mykolaĭovych
2 Randrianantoanina, Beata
2 Semënov, Evgeniĭ Mikhaĭlovich
2 Sukochev, Fedor Anatol’evich
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 Botelho, Geraldo
1 Calabuig, José Manuel
1 Candeloro, Domenico
1 Chica, Mario
1 Chitescu, Ion
1 Demazeux, R.
1 Dilworth, Stephen J.
1 Dzadzaeva, Dina
1 Emel’yanov, Èduard Yur’evich
1 Erkurşun Özcan, Nazife
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 Humenchuk, H. I.
1 Iosif, Alina Emilia
1 Jiménez Fernández, Eduardo
1 Juan, M. A.
1 Kadets, Liudmyla
1 Kaşkaloğlu, Kerem
1 Kazarian, Kazaros S.
1 Kholomenyuk, Violetta
1 Krasikova, Irina
1 Kulaev, Ruslan Chermenovich
1 Kusraev, Anatoly Georgievich
1 Kutzarova, Denka N.
1 Ledari, Alireza Ahmadi
1 Levitina, Galina
1 López Pellicer, Manuel
1 Maestre, Manuel
1 Maligranda, Lech
1 Marabeh, Mohammed A. A.
1 Mykhaylyuk, Vladimir
1 Novikova, Anna
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
1 Sambucini, Anna Rita
1 Sánchez-Pérez, Enrique Alfonso
1 Saxon, Stephen A.
1 Schechtman, Gideon
1 Sfetcu, Răzvan-Cornel
1 Shahraki, Somayeh
1 Shargorodsky, Eugene
1 Sharia, Teo
1 Sirotkin, Gleb G.
1 Śliwa, Wiesław
1 Terenzi, Paolo
1 Tradacete Pérez, Pedro
1 Troitsky, Vladimir G.
...and 10 more Authors
all top 5

Cited in 43 Serials

12 Journal of Mathematical Analysis and Applications
11 Positivity
7 Journal of Functional Analysis
7 Central European Journal of Mathematics
5 Archiv der Mathematik
4 Results in Mathematics
3 Studia Mathematica
3 Ukrainian Mathematical Journal
3 Proceedings of the American Mathematical Society
3 Journal of Mathematical Sciences (New York)
3 Abstract and Applied Analysis
2 Israel Journal of Mathematics
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Siberian Mathematical Journal
2 Russian Mathematics
2 Lobachevskii Journal of Mathematics
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Mediterranean Journal of Mathematics
2 Banach Journal of Mathematical Analysis
2 Journal of Function Spaces
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 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 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 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