TY - JOUR
ID - 247537
TI - Introduction of Frame in Tensor Product of $n$-Hilbert Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ghosh, Prasenjit
AU - Samanta, Tapas Kumar
AD - Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India.
AD - Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India.
Y1 - 2021
PY - 2021
VL - 18
IS - 4
SP - 1
EP - 18
KW - Frame
KW - Dual frame
KW - Tensor product of Hilbert spaces
KW - $n$-normed space
KW - $n$-Hilbert space
DO - 10.22130/scma.2021.524252.909
N2 - We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of $n$-Hilbert spaces is studied. Finally,;the dual frame in tensor product of $n$-Hilbert spaces is discussed.
UR - https://scma.maragheh.ac.ir/article_247537.html
L1 - https://scma.maragheh.ac.ir/article_247537_bdabe40608d29f6f8772b3bb95b0c141.pdf
ER -