Characterizations of some operator spaces by relative adjoint operators

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Atıf İçin Kopyala

Yilmaz Y.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.65, sa.10, ss.1833-1842, 2006 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 65 Sayı: 10
• Basım Tarihi: 2006
• Doi Numarası: 10.1016/j.na.2005.10.039
• Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1833-1842
• İnönü Üniversitesi Adresli: Evet

Özet

In this work, we introduce the notion of relative adjoint operators and characterize some operator spaces by this notion and by the results presented in [Y. Yilmaz, Structural properties of some function spaces, Nonlinear Anal. 59 (2004) 959-971]. Hence, for example, we prove that the operator space L (l(infinity) (A, X), c(0) (A, Z)) is equivalent to c(0) (A, L-SOT (l(infinity) (A, X), Z)) in the sense of isometric isomorphism, where A is an infinite set, X, Z are Banach spaces and L-SOT (X, Z) is the space L (X, Z) endowed with the strong operator topology. Note that the vector-valued function spaces l(infinity) (A, X) and c(0) (A, Z), defined in the prerequisites, are important generalizations of the classical Banach spaces l(infinity) and c(0). (c) 2005 Elsevier Ltd. All rights reserved.