Riesz Lemma in Normed Quasilinear Spaces and Its an Application

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Atıf İçin Kopyala

ÇAKAN S., Yilmazl Y.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.88, sa.2, ss.231-239, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 88 Sayı: 2
• Basım Tarihi: 2018
• Doi Numarası: 10.1007/s40010-017-0418-x
• Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.231-239
• İnönü Üniversitesi Adresli: Evet

Özet

Aseev (Proc Steklov Inst Math 2:23-52, 1986) started a new field in functional analysis by introducing the concept of normed quasilinear spaces which is a generalization of classical normed linear spaces. Then, we introduced the normed proper quasilinear spaces in addition to the notions of regular and singular dimension of a quasilinear space, Cakan and Yilmaz (J Nonlinear Sci Appl 8:816-836, 2015). In this study, we classify the normed proper quasilinear spaces as "solid-floored" and "non solid-floored". Thus, some properties of normed proper quasilinear spaces become more comprehensible. Also we present the counterpart of classical Riesz lemma in normed quasilinear spaces.