List of publications of Grigorii Ya. Lozanovsky

The 60 papers of G.Ya. Lozanovsky cited below concern the following areas of mathematics.
 

1) Theory of Banach lattices I (general theory) - 28
2) Theory of Banach lattices II (Banach function spaces) - 43
3) Functions of elements of linear and Banach lattices, and functions of vector lattices - 13
4) Interpolation in Banach lattices - 4
5) Integral operators - 2
6) Topological linear lattices - 10
7) Ordered rings - 1
8) Ordered Banach spaces - 1
9) Banach spaces and locally convex spaces - 3
10) General topology - 5
11) Theory of functions of the real variable - 1

[2] On topologically reflexive KB-spaces (Russian). Dokl. Akad. Nauk. SSSR, 158 (1964), 516-519.

[3] On countably normed semiordered rings (Russian). Sibirsk. Mat. Zh. 6 (1965), 867-880.

[4] Two remarks concerning operators in semiordered space. (Russian). Vestnik Leningrad. Univ. 20 (1965) No. 19, 159-160.

[5] On reflexive spaces generalizing the reflexive space of Orlicz (Russian). Dokl. Akad. Nauk SSSR 163 (1965), 573-576. Transl.: Soviet Math. Dokl. 6 (1965), 968-971.

[6] On almost integral operators in KB-spaces (Russian). Vestnik Leningrad. Univ. 21 (1966) No. 7, 35-44.

[7] (with B.Z. Vulikh) Metric completeness of normed and countably normed lattices (Russian). Vestnik Leningrad. Univ. 21 (1966) No. 19, 12-15.

[8] On the limit of a sequence of functionals in semiordered spaces (Russian) Vestnik Leningrad. Univ. 22 (1967) No. 1, 148-149.

[9] On Banach lattices and bases (Russian). Funktsional. Anal. i Prilozhen. 1 (1967) No. 3, 92.

[10] (with A.A. Mekler) Order continuous [completely linear] functionals and reflexivity in normed linear lattices (Russian). Izv. VUZ, Matematika, 11 (66) (1967), 47-53.

[ll] Banach lattices of Calderon (Russian). Dokl. Akad. Nauk SSSR 172 (1967), 1018-1020.

[12] Projections in certain Banach lattices (Russian). Mat. Zametki 4 (1968), 41-44.

[13] Certain topological properties of Banach lattices and conditions for their reflexivity (Russian). Dokl. Akad. Nauk SSSR 183 (1968), 521-523.
Transl.: Soviet Math. Dokl. 9 (1968), 1415-1418.

[14] (with V.A. Solov'ev) The monotone extension of a Banach norm from a vector lattice to its Dedekind completion (Russian). Vestnik Leningrad. Univ. 24 (1969), No. 13, 51-53.

[15] The representation of spaces of regular functionals, and certain of its applications (Russian) Dokl. Akad. Nauk SSSR 188 (1969), 522-524.
Transl.: Soviet Math. Dokl. 10 (1969), 1149-1152, as The realization of spaces of regular functionals, and certain applications thereof.

[16] Isomorphic Banach lattices (Russian). Sibirsk. Mat. Zh. 10 (1969), 93-98.
Transl.: Siberian Math. J. 10 (1969), 64-68.

[17] Certain Banach lattices (Russian). Sibirsk. Mat. Zh. 10 (1969), 584-599.

[18] Order continuous functionals in semiordered spaces (Russian). Mat. Zametki 8 (1970), 187-195.
TransL: Math. Notes 8 (1970), 578-582, as Completely linear functionals in partially ordered spaces.

[19] Banach lattices with unity (Russian). Izv. VUZ, Matematika, No. 1 (92) (1970), 65-69.

[20] On one result of Shimogaki (Russian). Thesises of the Second Conference of the Pedagogical Institutes of North-West region devoted to Mathematics and the Methods of its Teaching, Leningrad (1970), 43 .

[21] Certain Banach lattices II (Russian). Sibirsk. Mat. Zh. 12 (1971), 562-567. Transl.: Siberian Math. J. 12 (1971), 397-401.

[22] The Banach lattices and concave functions (Russian). Dokl. Akad. Nauk SSSR 199 (1971), 536-539. Transl.: Soviet Math. Dokl. 12 (1971), 1114-1117.

[23] Normed lattices with a semicontinuous norm (Russian). Sibirsk. Mat. Zh. 12 (1971), 232-234.
Transl.: Siberian Math. J. 12 (1971), 169-170.

[24] (with B.Z. Vulikh) The representation of order continuous and of regular functionals in semiordered spaces (Russian). Mat. Sb. (N.S.) 84 (1971), 331-352.
Transl.: Math. USSR Sbornik 13 (1971), 323-343, as The representation of completely linear and of regular functionals
in partially ordered spaces.

[25] On Banach spaces equivalent to Banach lattices (Russian). XXIV Gertsen chteniya, matem., Leningrad (1971), 52-54

[26] A remark on a certain interpolation theorem of Calderon (Russian). Funktsional. Anal. i Prilozhen. 6 (1972), No. 4, 89-90.

[27] Certain Banach lattices III (Russian). Sibirsk. Mat. Zh. 13 (1972), 1304-1313.

[28] Certain Banach lattices IV (Russian). Sibirsk. Mat. Zh. 14 (1973), 140-155.

[29] The functions of the elements of a linear lattice (Russian). Izv. VUZ, Matematika, 4 (131) (1973), 45-54.

[30] On normal measures on a product of compact Hausdorff spaces (Russian). III Tiraspol Simposium on General Topolgy and Its Applications. Theses of reports, Kishyniev (1973), 45-54.

[31] (with Yu.A. Abramovich) Some numerical characteristics of KN-lineals (Russian). Mat. Zametki 14 (1973), 723-732. Transl.: Math. Notes 14 (1973), 973-978.

[32] (with A.V. Bukhvalov) Sets closed with respect to measure in spaces of measurable functions (Russian). Dokl. Akad. Nauk SSSR 212 (1973), 1273-1275.
Transl.: Soviet Math. Dokl. 14 (1973), 1563-1565, as Sets closed in measure in spaces of measurable functions.

[33] The second Nakano-dual space to a Banach lattice (Russian). Collection of articles dedicated to B.Z.Vulih on the occasion of his sixtieth birthday. Optimizatsiya, Vyp. 12 (1973), 90-92.

[34] Localized functionals in vector lattices (Russian). Teor. Funkcii Funktsional. Anal. i Prilozhen. 19 (1974), 66-80.

[35] (with A.I. Veksler and A.V. Koldunov) On the local construction of spaces of measurable functions on the space of maximal ideals of the Banach algebra L^infty (Russian). XXVII Gertsen chteniya, Leningrad (1974), 40-43.

[36] N. Dunford's theorem (Russian). Izv. VUZ, Matematika, 8 (147) (1974), 58-59.

[37] (with A.V. Bukhvalov) Representations of linear functionals and operators on vector lattices and certain applications of these representations (Russian). Operator theory in function spaces (Proc. School, Novosibirsk, 1975) (Russian), pp. 71-98, "Nauka", Sibirsk. Otdel. Novosibirsk, 1977.

[38] A certain class of linear operators, and its application to the theory of spaces of measurable functions (Russian). Sibirsk. Mat. Zh. 16 (1975), 755-760.

[39] Coordinate Marcinkiewicz spaces (Russian). Optimizatsija, Novosibirsk, 17 (1975), 130-142.

[40] Normal measures in a product of bicompacta, and a certain problem of V.I.Ponomarev (Russian). Izv. VUZ, Matematika, 7 (158) (1975), 114-116.
Transl.: Soviet Math. (Iz. VUZ) 19 (1975), No. 7, 91-93.

[41] The complex interpolation method in Banach lattices of measurable functions (Russian). Dokl. Akad. Nauk SSSR 226 (1976), 55-57.
Transl.: Soviet Math. Dokl. 17 (1976), 51-54.

[42] A supplement to the article: "Localized functionals in vector lattices" (Teor. Funkcii Funktsional. Anal. i Prilozhen. 19 (1974), 66-80) (Russian). Investigations on linear operators and theory of functions, VI. Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 56 (1976), 188-190.

[43] Elements with order-continuous norm in Banach lattices (Russian). Funktsional. Analiz 6 (1976), 90-98. Ul'yanovsk. Gos. Ped. Inst., Ul'yanovsk.

[44] A remark on normal measures (Russian). Upravleniye, Nadezhnost' i Navigatsiya, Saransk, 3 (1976), 106-109.

[45] (with M.S. Braverman) The extension of linear functionals in Banach spaces of measurable functions (Russian). Mat. Zametki 20 (1976), 733-739.
Transl.: Math. Notes 20 (1976), 969-973, as The continuation of linear functionals in Banach spaces of measurable functions.

[46] Countability of a type in Banach lattices (Russian). Funktsional. Analiz 8 (1977); Operator theory (Russian), pp. 84-93. Ul'yanovsk. Gos. Ped. Inst., Ul'yanovsk.

[47] (with A.V. Bukhvalov) Sets that are closed with respect to measure in spaces of measurable functions (Russian). Trudy Moskov. Mat. Obshch. 34 (1977), 129-150.

[48] Mappings of Banach lattices of measurable functions (Russian). Izv. VUZ, Matematika, 5 (192) (1978), 84-86.
Transl.: Soviet Math. (Iz. VUZ) 22 (1978), No.5, 61-63.

[49] Transformations of ideal Banach spaces by means of concave functions (Russian). Qualitative and approximate methods for the investigation of operator equations, No. 3 (Russian), pp. 122-148, Yaroslav. GOS. Univ., Yaroslavl, 1978.

[50] On the conjugate space of Banach lattice (Russian). Teor. Funkcii Funktsional. Anal. i Prilozhen., Kharkov, 30 (1978), 85-90.

[51] The representation of linear functionals in Marcinkiewicz spaces (Russian). Izv. VUZ, Matematika, 1 (188) (1978), 43-53.

[52] Banach lattices and primary sets of compacta (Russian). Funktsional. Analiz, Ul'yanovsk, vyp. 10, Spektralnaya teoriya (1978), 106-113.

[53] Discrete functionals in Marcinkiewicz and Orlicz spaces (Russian). Studies in the theory of functions of several real variables, No. 2 (Russian), pp. 132-147, Yaroslav. Gos. Univ., Yaroslavl, 1978.

[54] (with G.Ya. Rotkovich) One theorem on concave functions (Russian). XXXI Gertsen chteniya (Nonlinear Functional Analysis and Approximation Theory), Leningrad (1978), 22-25.

[55] The space of antinormal functionals (Russian). Mat. Zametki 26 (1979), 427-434. Transl.: Math. Notes 26 (1979), 705-709.

[56] The complex method of interpolation in Banach lattices of measurable functions (Russian). Boundary value problems. Spectral theory (Russian), pp. 83-99, 243, Probl. Mat. Anal. 7, Leningrad. Univ., Leningrad 1979.

[57] Characterization of the power function by means of functional inequalities (Russian). Qualitative and approximate methods for the investigation of operator equations, No. 2 (Russian), pp. 162-165, Yaroslav. Gos. Univ., Yaroslavl 1977.

[58] Order separability of K-spaces (Russian). Application of functional analysis in approximation theory (Russian), pp. 97-101, 161, Kalinin. Gos. Univ., Kalinin 1979.

[59] (with A.V. Bukhvalov and A.I. Veksler) Banach lattices - some Banach aspects of the theory (Russian). Uspekhi Mat. Nauk 34, No. 2, (1979), 137-183. Transl.: Russian Math. Surveys 34 (1979), 159-212.

[60] (with Yu.A. Abramovich) Three new cardinal invariants for normed lattices. Proc. Royal Irish Acad. Sect. A, 90 (1990), No. 2, 191-200.

[61] (W.Odyniec, M. Wojtovicz, A.Veksler, eds.) Lozanovsky's Note-books, Part I (1960-1967), Zielona Gora, 2000.