Affiliation:
1. Departamento de Matemáticas, Universidad Nacional de Colombia , Bogotá 360354 , Colombia
2. Facultad Tecnológica, Universidad Distrital Francisco José de Caldas , Bogotá , Colombia
Abstract
Abstract
In this paper, the functions
u
∈
B
V
φ
[
0
,
1
]
u\in B{V}_{\varphi }\left[0,1]
which define compact and Fredholm multiplication operators
M
u
{M}_{u}
acting on the space of functions of bounded
φ
\varphi
-variation are studied. All the functions
u
∈
B
V
φ
[
0
,
1
]
u\hspace{-0.08em}\in \hspace{-0.08em}B{V}_{\varphi }\left[0,\hspace{-0.08em}1]
which define multiplication operators
M
u
:
B
V
φ
[
0
,
1
]
→
B
V
φ
[
0
,
1
]
{M}_{u}:B{V}_{\varphi }\left[0,1]\to B{V}_{\varphi }\left[0,1]
with closed range are characterized.
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