Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

René Erlin Castillo; Humberto Rafeiro; Julio C. Ramos-Fernández; Margot Salas-Brown

doi:10.1007/s40840-017-0562-0

Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

René Erlin Castillo
, Humberto Rafeiro
, Julio C. Ramos-Fernández
, Margot Salas-Brown

Producción científica: Contribución a revista › Artículo de Investigación › revisión exhaustiva

11 Citas (Scopus)

Resumen

We calculate the measure of non-compactness of the multiplication operator M_u acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of M_u acting on Köthe spaces.

Idioma original	Inglés estadounidense
Páginas (desde-hasta)	1523-1534
Número de páginas	12
Publicación	Bulletin of the Malaysian Mathematical Sciences Society
Volumen	42
N.º	4
DOI	https://doi.org/10.1007/s40840-017-0562-0
Estado	Publicada - jul. 15 2019

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Matemáticas General

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10.1007/s40840-017-0562-0

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abstract = "We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic K{\"o}the spaces. We show that all bounded below multiplication operators acting on K{\"o}the spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on K{\"o}the spaces.",

author = "Castillo, \{Ren{\'e} Erlin\} and Humberto Rafeiro and Ramos-Fern{\'a}ndez, \{Julio C.\} and Margot Salas-Brown",

note = "Publisher Copyright: {\textcopyright} 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",

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Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range. / Castillo, René Erlin; Rafeiro, Humberto; Ramos-Fernández, Julio C. et al.
En: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 42, N.º 4, 15.07.2019, p. 1523-1534.

Producción científica: Contribución a revista › Artículo de Investigación › revisión exhaustiva

TY - JOUR

T1 - Multiplication Operator on Köthe Spaces

T2 - Measure of Non-compactness and Closed Range

AU - Castillo, René Erlin

AU - Rafeiro, Humberto

AU - Ramos-Fernández, Julio C.

AU - Salas-Brown, Margot

PY - 2019/7/15

Y1 - 2019/7/15

N2 - We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on Köthe spaces.

AB - We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on Köthe spaces.

UR - https://www.scopus.com/pages/publications/85067416651

UR - https://www.scopus.com/pages/publications/85067416651#tab=citedBy

U2 - 10.1007/s40840-017-0562-0

DO - 10.1007/s40840-017-0562-0

M3 - Research Article

AN - SCOPUS:85067416651

SN - 0126-6705

VL - 42

SP - 1523

EP - 1534

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 4

ER -

Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

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