Sifat Pasangan Adjoin Relatif Terhadap Bentuk Bilinear

Karyati, (2006) Sifat Pasangan Adjoin Relatif Terhadap Bentuk Bilinear. Seminar Nasional MIPA 2006: Penelitian, Pendidikan, dan Penerapan MIPA serta Peranannya dalam Peningkatan Keprofesionalan Pendidik dan Tenaga Kependidikan. ISSN 979-99314-1-X

[img]
Preview
Text
M-94 Karyati.pdf

Download (95kB) | Preview
Official URL: http://fmipa.uny.ac.id

Abstract

Let X and Y be vector spaces over a field K , then be constructed a bilinear form B : X × Y ⎯ ⎯→ K . This paper discuss the properties of adjoin pairs with respect to the bilinear form B . The result show that : ( f , g ) is an Adjoin pairs if and only if f o B ∗ = B ∗ o g ∗ , g ∗ ∈ L( Y ∗ ) defined as (t ) g ∗ = g o t , ∀t ∈ Y ∗ ; ( f , g ) is Adjoin pairs if and only if g o B ∗ = B∗ o f ∗ , f ∗ ∈ L (X ∗ ) defined as (t ) f ∗ = f o t , ∀t ∈ X ∗ ; If B : X × Y → K is a non degenerate bilinear form and the dimension of X and Y are finite, then for every ∧ f ∈ L( X ) there is g ∈ L( Y ) such that ( f , g ) is Adjoin pairs, N (g ) = R ( f ) and ∧ R( g ) = N ( f ) . As the corollary , for every g ∈ L( Y ) there is f ∈ L( X ) such that ( f , g ) is ∧ ∧ Adjoin pairs, N ( g ) = R( f ) and R (g ) = N ( f ) . Keywords: Bilinear form, non degenerate, adjoin pairs

Item Type: Article
Uncontrolled Keywords: Bilinear form, non degenerate, adjoin pairs
Subjects: Prosiding > Seminar Nasional MIPA 2006
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika
Depositing User: Eprints
Date Deposited: 03 Feb 2015 00:42
Last Modified: 03 Feb 2015 00:42
URI: http://eprints.uny.ac.id/id/eprint/11986

Actions (login required)

View Item View Item