Scalability of Generalized Frames for Operators

V Kumar, S Malhotra, N Khanna - Journal of Function Spaces, 2024 - Wiley Online Library
In this paper, the Parseval K‐g‐frames are constructed from a given K‐g‐frame by scaling
the elements of the K‐g‐frame with the help of diagonal operators, and these frames are …

[PDF][PDF] CONTROLLED g-FRAMES and THEIR g-DUALS

V Kumar, S Malhotra - pjm.ppu.edu
In this paper, we prove some properties of controlled g-frames. A necessary and sufficient
condition for a controlled g-Bessel sequence to be a controlled g-frame is obtained. In …

Some characterizations of fusion Banach frames

HK Pathak, MP Goswami - International Journal of Wavelets …, 2015 - World Scientific
Near exact fusion Banach frames have been discussed with the help of examples. Further, it
has been proved that if a Banach space has a fusion Banach frame then it has a normalized …

[PDF][PDF] Construction of generalized atomic decompositions in Banach spaces

R Kumar, MC Joshi, RB Singh, AK Sah - 2014 - researchgate.net
G-atomic decompositions for Banach spaces with respect to a model space of sequences
have been introduced and studied as a generalization of atomic decompositions. Examples …