Matriks Operator dan Ruang Barisan bv

Khoirul Anwar, Prof. Dr. Supama, M.Si.

2024 | Tesis | S2 Matematika

Dalam tesis ini dibahas tentang domain matriks ruang barisan bv oleh beberapa matriks tak hingga segitiga, antara lain matriks W, matriks Cesaro order satu, matriks terboboti diperumum, dan matriks Riesz. Beberapa hal terkait matriks domain yang dibahas meliputi isomorfisma ruang barisan, ruang BK, basis Schauder, dual ruang barisan serta karakterisasi hasil pemetaan suatu ruang barisan oleh beberapa kelas matriks transformasi. Lebih lanjut, dibahas juga relasi inklusi dari beberapa domain matriks ruang barisan bv.

In this thesis, we study about the matrix domain of the bv sequence space by several triangle infinite matrices, namely the W matrix, the Cesaro mean of order one matrix, the Generalized Weighted matrix, and the Riesz matrix. Several things related to the matrix domain that will be observed include isomorphim of sequence spaces, BK- spaces, Schauder bases, duals and also the characterization of a mapping of a sequence space by some classes of matrix transformations. Furthermore, we also discuss inclusion relations between several matrix domains of the sequence space bv.

Kata Kunci : Matriks Tak Hingga, Ruang Barisan, Matriks Transformasi, Dual Ruang Barisan, Basis Schauder.