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Disjointly Almost Trivial Unbounded Functionals. / Storozhuk, Konstantin.

в: Functional Analysis and its Applications, Том 60, № 3, 02.10.2026, стр. 319-320.

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Harvard

Storozhuk, K 2026, 'Disjointly Almost Trivial Unbounded Functionals', Functional Analysis and its Applications, Том. 60, № 3, стр. 319-320. https://doi.org/10.1134/S1234567826030110

APA

Storozhuk, K. (2026). Disjointly Almost Trivial Unbounded Functionals. Functional Analysis and its Applications, 60(3), 319-320. https://doi.org/10.1134/S1234567826030110

Vancouver

Storozhuk K. Disjointly Almost Trivial Unbounded Functionals. Functional Analysis and its Applications. 2026 окт. 2;60(3):319-320. doi: 10.1134/S1234567826030110

Author

Storozhuk, Konstantin. / Disjointly Almost Trivial Unbounded Functionals. в: Functional Analysis and its Applications. 2026 ; Том 60, № 3. стр. 319-320.

BibTeX

@article{f29539a9f1344d58890869121d9f1e69,
title = "Disjointly Almost Trivial Unbounded Functionals",
abstract = "Abstract: We show that on infinite-dimensional function spaces, there exist unbounded functionals that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.",
keywords = "Banach lattice, disjoint family, ultrafilter, Банахова решетка, непересекающееся семейство, ультрафильтр",
author = "Konstantin Storozhuk",
note = "Storozhuk, K. Disjointly Almost Trivial Unbounded Functionals. Funct Anal Its Appl 60, 319–320 (2026). https://doi.org/10.1134/S1234567826030110 The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF-2026-0022).",
year = "2026",
month = oct,
day = "2",
doi = "10.1134/S1234567826030110",
language = "English",
volume = "60",
pages = "319--320",
journal = "Functional Analysis and its Applications",
issn = "1573-8485",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Disjointly Almost Trivial Unbounded Functionals

AU - Storozhuk, Konstantin

N1 - Storozhuk, K. Disjointly Almost Trivial Unbounded Functionals. Funct Anal Its Appl 60, 319–320 (2026). https://doi.org/10.1134/S1234567826030110 The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF-2026-0022).

PY - 2026/10/2

Y1 - 2026/10/2

N2 - Abstract: We show that on infinite-dimensional function spaces, there exist unbounded functionals that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.

AB - Abstract: We show that on infinite-dimensional function spaces, there exist unbounded functionals that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.

KW - Banach lattice

KW - disjoint family

KW - ultrafilter

KW - Банахова решетка

KW - непересекающееся семейство

KW - ультрафильтр

UR - https://www.mendeley.com/catalogue/c6d0e804-d663-3daf-b355-f762f6a6d9f8/

UR - https://www.scopus.com/pages/publications/105052507558

U2 - 10.1134/S1234567826030110

DO - 10.1134/S1234567826030110

M3 - Article

VL - 60

SP - 319

EP - 320

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 1573-8485

IS - 3

ER -

ID: 83877825