<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞"^^ . "A sequence is an order of several numbers formed in the presence of a certain order.\r\nIn this case, the linear operator representation includes a sequence space l1\r\n(sequence space containing sequence with convergent absolute numbers) to\r\nsequence space l∞ (sequence space containing a limited sequence). There have been\r\nmany cases of linear operators from sequence space to sequence space that can be\r\nsolved using the no-to-matrix concept, where a no-up matrix itself is a matrix that\r\nhas a size not to times not to. The purposes of this research are as follows: To study\r\nthe properties of any linear operator that works from linear space l1 to linear space\r\nl∞, and to look for the representation of linear operators from linear space l1 to\r\nlinear space l∞. A continuous linear operator A ∶ l1 → l∞ will be an operator-SM\r\nif and only if there is a matrix (aij) that satisfy:\r\ni. A(x) = {∑ aijxj\r\n∞\r\nj=1\r\n} ∈ l∞ for every x = (xi\r\n) ∈ l1\r\n\r\nii. sup\r\ni≥1\r\nsup\r\nj≥1\r\n|aij| < ∞\r\niii. ∑ ‖∑ amkdm\r\n∞\r\nk=1\r\n∞\r\nm=1\r\n\r\n‖ < ∞\r\n\r\nThen from that, the collection of all operators-SM A A ∶ l1 → l∞ denoted with\r\nSM(l1, l∞) will form the Banach space.\r\nKeywords : Representation of linear operators, sequence spaces, matrix,\r\nbanach spaces.\r\n\r\n\r\nBarisan adalah susunan dari beberapa bilangan yang terbentuk dengan adanya\r\nurutan tertentu. Dalam kasus ini, representasi operator linear mencakup ruang\r\nbarisan l1 (ruang barisan yang berisi barisan dengan jumlah mutlak konvergen) ke\r\nruang barisan l∞ (ruang barisan yang berisi barisan terbatas). Sudah banyak\r\nditemukan kasus operator linear dari ruang barisan ke ruang barisan yang dapat\r\ndiselesaikan dengan menggunakan konsep matriks tak hingga, yang mana matriks\r\ntak hingga sendiri adalah matriks yang memiliki ukuran tak hingga kali tak hingga.\r\nTujuan dilakukannya penelitian ini diantaranya sebagai berikut: Untuk mempelajari\r\nsifat operator linear apa saja yang bekerja dari ruang barisan l1 ke ruang barisan l∞,\r\ndan untuk mencari representasi operator linear dari ruang barisan l1 ke ruang\r\nbarisan l∞. Suatu operator linear kontinu A ∶ l1 → l∞ akan menjadi operator-SM\r\njika dan hanya jika terdapat matriks (aij) yang memenuhi:\r\ni. A(x) = {∑ aijxj\r\n∞\r\nj=1\r\n} ∈ l∞ untuk setiap x = (xi\r\n) ∈ l1\r\n\r\nii. sup\r\ni≥1\r\nsup\r\nj≥1\r\n|aij| < ∞\r\niii. ∑ ‖∑ amkdm\r\n∞\r\nk=1\r\n∞\r\nm=1\r\n\r\n‖ < ∞\r\n\r\nMaka dari itu, koleksi semua operator-SM A ∶ l1 → l∞ yang dinotasikan dengan\r\nSM(l1, l∞) akan membentuk ruang Banach.\r\n\r\nKata Kunci : Representasi operator linear, ruang barisan, matriks, ruang banach."^^ . "2024-08-09" . . . . . "FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM"^^ . . . . . . . "SUDRAJAT"^^ . "LAMBUNG "^^ . "SUDRAJAT LAMBUNG "^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (File PDF)"^^ . . . "Abstrak Skripsi Lambung Sudrajat 2017031041 - Lambung Sudrajat.pdf"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (File PDF)"^^ . . . "Skripsi Full Tanpa Lampiran dan BAB IV Lambung Sudrajat 2017031041 - Lambung Sudrajat.pdf"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (File PDF)"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "preview.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "medium.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "small.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "preview.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "medium.jpg"^^ . . . "REPRESENTATION OF LINEAR OPERATORS\r\nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞ (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #82141 \n\nREPRESENTATION OF LINEAR OPERATORS \nFROM SEQUENCE SPACE l1 TO SEQUENCE SPACE l∞\n\n" . "text/html" . . . "500 ilmu pengetahuan alam dan matematika" . . . "510 Matematika" . .