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Generalized
Continuous
K-Weaving Frames
Shipra (1), Chander Shekhar (2) and
Renu Chugh
(3)
(1) Department
of Mathematics,
Maharshi
Dayanand
University,
Rohtak-124001,
India
Email address:
shipra.kadiyan2502@gmail.com
(2) Department of
Mathematics,
Indraprastha college
for Women
,University of
Delhi, Delhi 110007,
India
Email address:
shekhar.hilbert@gmail.com
(3) Department of
Mathematics,
Maharshi Dayanand
University,
Rohtak-124001, India
Email address:
chughrenu@yahoo.com
Doi :
https://doi.org/10.47013/15.4.21
Cited by :
Jordan J. Math &
Stat.,
15 (4B) (2022),
1111 - 1126
PDF
Received on:
Oct. 31,
2021;
Accepted
on: March 23,
2022
Abstract. Motivated
with the study
of discrete
weaving frames
by Bemrose et
al. in 2015, we
study
generalized
continuous
K-weaving frames
in Hilbert
spaces and prove
some new basic
properties.
Also, we prove a
sufficient
condition for
generalized
continuous
K-frame to be
woven. Further,
we prove that
generalized
continuous
K-weaving frames
remain woven
under invertible
operator.
Finally, we give
Paley-Wiener
type
perturbation
results for
generalized
continuous
K-weaving
frames.
Keywords: Weaving frames,
Continuous
frame.
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