L ∞  Spaces of Vector-Valued Functions as Spaces of Continuous Functions

Banu Güntürk

Makale detayları

L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions

Yazarlar:

Banu Güntürk

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.1-7

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318108

pISSN:

1306-7575

Anahtar kelimeler:

Özet:

 It is proved that for any decomposable perfect measure space , , , the space  ,  of essentially bounded weak measurable functions on  to  is linearly isometric to the space , of continuous functions on  to , the latter space is being provided with the supremum norm   sup where  stands for the space  endowed with its weak topology.

 It is proved that for any decomposable perfect measure space , , , the space  ,  of essentially bounded weak measurable functions on  to  is linearly isometric to the space , of continuous functions on  to , the latter space is being provided with the supremum norm   sup where  stands for the space  endowed with its weak topology.

 It is proved that for any decomposable perfect measure space , , , the space  ,  of essentially bounded weak measurable functions on  to  is linearly isometric to the space , of continuous functions on  to , the latter space is being provided with the supremum norm   sup where  stands for the space  endowed with its weak topology.

 It is proved that for any decomposable perfect measure space , , , the space  ,  of essentially bounded weak measurable functions on  to  is linearly isometric to the space , of continuous functions on  to , the latter space is being provided with the supremum norm   sup where  stands for the space  endowed with its weak topology.

Makale detayları

L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions

Yazarlar:

Banu Güntürk

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.1-7

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318108

pISSN:

1306-7575

∞ Space

Vector-Valued Functions

Perfect Measure

Hyperstonean Space

Continuous Function Spaces

Sayı

Makale detayları

L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions

Yazarlar: Banu Güntürk

Yayıncı: Süleyman Demirel University

Ana Başlıklar: Operator Algebras and Functional Analysis

Dergi: Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.1-7

Belge Tipi: Makale

Yayın Tarihi: 5/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001318108

pISSN: 1306-7575

∞ Space

Vector-Valued Functions

Perfect Measure

Hyperstonean Space

Continuous Function Spaces

Sayı

Yazarlar:

Banu Güntürk

Yayıncı:

Süleyman Demirel University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Süleyman Demirel University Faculty of Arts and Science Journal of Science Vol.19 Issue 1, pp.1-7

Belge Tipi:

Makale

Yayın Tarihi:

5/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001318108

pISSN:

1306-7575