WEIGHTED ORLICZ ALGEBRAS ON LOCALLY COMPACT GROUPS

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Atıf İçin Kopyala

Osancliol A., Oztop S.

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.99, sa.3, ss.399-414, 2015 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 99 Sayı: 3
• Basım Tarihi: 2015
• Doi Numarası: 10.1017/s1446788715000257
• Dergi Adı: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.399-414
• İstanbul Üniversitesi Adresli: Evet

Özet

For a locally compact group G with left Haar measure and a Young function Phi, we define and study the weighted Orlicz algebra L-w(Phi)(G) with respect to convolution. We show that L-w(Phi)(G) admits no bounded approximate identity under certain conditions. We prove that a closed linear subspace I of the algebra L-w(Phi)(G) is an ideal in L-w(Phi)(G) if and only if I is left translation invariant. For an abelian G, we describe the spectrum (maximal ideal space) of the weighted Orlicz algebra and show that weighted Orlicz algebras are semisimple.