Monotone Operators in Vector Lattices and Lattice-Normed Spaces | Sciact - Система учета научной деятельности ИМ СО РАН

Monotone Operators in Vector Lattices and Lattice-Normed Spaces Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2025, Том: 66, Номер: 3, DOI: 10.1134/S0037446625030012

Ключевые слова

Riesz space, Banach lattice, lattice homomorphism, positive isometry, order isomorphism, lattice-normed space, Banach--Kantorovich space, Banach bundle, measurable section, lifting

Авторы

Gutman A.E. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0004

We show that every monotone linear operator from a vector lattice to a lattice-normed space can be represented as the composition of a surjective lattice homomorphism and a linear isometry. We also give some applications to the theory of continuous and measurable bundles of Banach lattices.

Gutman A.E.
Monotone Operators in Vector Lattices and Lattice-Normed Spaces
Siberian Mathematical Journal. 2025. V.66. N3. DOI: 10.1134/S0037446625030012

Поступила в редакцию:	24 мар. 2025 г.
Принята к публикации:	26 мар. 2025 г.

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