Riesz Lemma in Normed Quasilinear Spaces and Its an Application


ÇAKAN S. , Yilmazl Y.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.88, ss.231-239, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 88 Konu: 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
  • Sayfa Sayıları: ss.231-239

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.