Results on soft Hilbert spaces

YAZAR M. İ., GÜNDÜZ Ç., Bayramov S.

TWMS Journal of Applied and Engineering Mathematics, cilt.9, sa.1, ss.159-164, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: TWMS Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.159-164
  • Anahtar Kelimeler: soft sets, soft inner product spaces, soft Hilbert spaces
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Molodtsov [6] introduced the notion of soft set which can be considered as a new mathematical approach for vagueness. Das and Samanta [8] first defined the soft vector space and soft norm. Yazar and et al. [9] defined the soft vector space by using the concept of soft point given in [4, 5] and introduced the soft normed spaces in a new point of view. In the present paper, We give some properties of soft inner product spaces and present some examples for soft inner product spaces. Soft Hilbert space is introduced and some related properties are investigated. Finally, soft (l) over tilde (2) space is given as an example for soft Hilbert spaces.