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math.FA2017
A Remark on a paper of P. B. Djakov and M. S. Ramanujan
Elif Uyanık, Murat H. Yurdakul
Let l be a Banach sequence space with a monotone norm in which the canonical system (e_{n}) is an unconditional basis. We show that if there exists a continuous linear unbounded op…
math.FA2017
Bounded Operators to -Köthe Spaces
Elif Uyanık, Murat H. Yurdakul
For Fr{é}chet spaces E and F we write (E,F) \in {B} if every continuous linear operator from E to F is bounded. Let l be a Banach sequence space with a monotone norm in which the c…
math.FA2017
A note on triangular operators on Smooth Sequence Spaces
Elif Uyanık, Murat H. Yurdakul
For a scalar sequence {(θ_n)}_{n \in \mathbb{N}}, let C be the matrix defined by c_n^k = θ_{n-k+1} if n > k, c_n^k = 0 if n < k. The map between Köthe spaces λ(A) and λ(B) is calle…