S MAT 1203128 Table of content

DAFTAR ISI

PERNYATAAN BEBAS PLAGIARISME ...........................................................i
KATA PENGANTAR ............................................................................................ii
UCAPAN TERIMA KASIH.................................................................................iii
ABSTRAK..............................................................................................................iv
ABSTRACT ............................................................................................................v
DAFTAR ISI ..........................................................................................................vi
BAB I

PENDAHULUAN ....................................................................................1
1.1

Latar Belakang .................................................................................1

1.2

Rumusan Masalah ............................................................................2

1.3

Tujuan Penelitian..............................................................................2

1.4

Manfaat Penelitian............................................................................3

1.5

Struktur Organisasi Skripsi ..............................................................3

BAB II KAJIAN PUSTAKA ...............................................................................4
2.1

2.2

Ulasan Teori Aljabar-

...................................................................4

2.1.1

Ruang Hilbert .......................................................................4

2.1.2

Aljabar Operator...................................................................6

2.1.3

Aljabar-

2.1.4

Proyeksi Ortogonal.............................................................13

2.1.5

Isometri Parsial...................................................................17

...........................................................................10

Jenis- Jenis Matriks ........................................................................22

Rita Anggraeni Budianti, 2016
KAITAN ANTARA ALJABAR CUNTZ-KRIEGER O_A D AN ALJABAR CUNTZ-KRIEGER D ARI GRAF E
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

vi

vii

2.3

Graf Berarah ...................................................................................24

2.4

Graf Dual ........................................................................................26

BAB III METODE PENELITIAN .....................................................................27

BAB IV PEMBAHASAN ....................................................................................28
4.1

Kaitan Antara Matriks dengan Graf Berarah .................................28

4.2

Keluarga Cuntz-Krieger .................................................................30

4.3

Aljabar Cuntz-Krieger

4.4

Aljabar Cuntz-Krieger dari Graf .................................................35

4.5

Kaitan antara Aljabar Cuntz-Krieger

..............................................................33

dan

Aljabar Cuntz-Krieger dari Graf .................................................42
BAB V PENUTUP ..............................................................................................45
5.1

Kesimpulan.....................................................................................45

5.2

Saran ...............................................................................................46

DAFTAR PUSTAKA ...........................................................................................47

Rita Anggraeni Budianti, 2016
KAITAN ANTARA ALJABAR CUNTZ-KRIEGER O_A D AN ALJABAR CUNTZ-KRIEGER D ARI GRAF E
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu