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Teorema Grafik Tertutup Pada Ruang Banach Hubungan Antara Operator Linier Terbatas dan Operator Linier Tertutup Pada Ruang Banach 511.5 HID t

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ABSTRAK

Teorema grafik tertutup merupakan salah satu teorema utama pada analisis
fungsional. Teorema ini merupakan hubungan dari operator linier terbatas dan
operator linier tertutup pada ruang Banach. Operator linier terbatas merupakan
operator yang terbatas pada normanya, serta operator linier terbatas juga merupakan
operator linier kontinu. Operator linier tertutup merupakan operator yang grafiknya
tertutup. Jika suatu operator linier
terbatas dengan domain tertutup maka operator
linier
tertutup. Kemudian operator linier
tertutup dengan domain tertutup maka
operator linier
terbatas.
Kata kunci : Ruang Banach, Operator linier terbatas, Operator linier tertutup,
Teorema grafik tertutup.

ABSTRACT

Closed graph theorem is one of the fundamental theorem in functional analysis.
This theorem is a relation of the bounded linear operator and closed linear operator
on Banach space. Bounded linear operator is an operator that its norm is bounded,
as well as the bounded linear operator is also a continuous linear operator. Closed
linear operator is an operator which its graph is closed. If a linear operator T is
bounded and its domain is closed then T is closed. Also if the linear operator T is
closed with the closed domain then operator T is bounded.
Keywords : Banach space, Bounded linear operator, Closed linear operator, Closed
graph theorem.

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Ketersediaan

1943A17I

1943 A 17

Perpustakaan FSM Undip (Referensi)

Tersedia

Informasi Detail

Judul Seri

MATEMATIKA

No. Panggil

1943 A 17

Penerbit

: ., 2016

Deskripsi Fisik

-

Bahasa

Indonesia

ISBN/ISSN

-

Klasifikasi

1479

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

-

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Riyan Hidayat

Versi lain/terkait

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