RESULTS ON SOFT HILBERT SPACES

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 intro...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2019-01, Vol.9 (1 SI), p.159
Main Authors: Yazar, M.I, Aras, C.G, Bayramov, S
Format: Article
Language:English
Subjects:
Hilbert space
Mathematical research
Quantum theory
Set theory
Vector space
Online Access:Get full text
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Summary: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 [[??].sub.2] space is given as an example for soft Hilbert spaces.Keywords: soft sets, soft inner product spaces, soft Hilbert spaces.AMS Subject Classification: 46A22, 46B99
ISSN:2146-1147
2146-1147