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"$(m,infty)$-expansive and $(m,infty)$-contractive Commuting tuple of operators on a Banach space

Author name : HADI OBAID MOHAMMED ALSHAMMARI
Publication Date : 2021-10-02
Journal Name : Filomat

Abstract

natural extension of the concepts of (m,p)-expansive and (m,p)-contractive for tuple of commuting operators, we introduce and studied the concepts of
(
m
,

)
-expansive tuple and
(
m
,

)
-contractive tuple of commuting operators acting on Banach space. We say that
S
is
(
m
,

)
-expansive d-tuple \big(resp. (m,p)-contractive d-tuple \big) of operators if
Q
m
(
p
)
(
S
;
  
u
)

0
  
  

  
u

X
and
p


\big(resp.
Q
m
(
p
)
(
S
;
  
u
)

0
  
  

  
u

X
and
p


\big). These concepts extend the definition of
(
m
,

)
-isometric tuple of bounded linear operators acting on Banach spaces was introduced and studied in \cite{HF}.

Keywords

m-isometric tuple, (m, p)-isometric tuples, expansive operator.

Publication Link

https://doi.org/10.2298/FIL2204113A

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