TY  - JOUR
T1  - Quasilineer Uzaylarda Biquasilineer Fonksiyoneller ve Bazı Sonuçları
TT  - Biquasilinear Functionals on Quasilinear Spaces and Some Related Results
AU  - Bozkurt, Hacer
AU  - Yılmaz, Yılmaz
PY  - 2020
DA  - March
DO  - 10.18185/erzifbed.664675
JF  - Erzincan University Journal of Science and Technology
PB  - Erzincan Binali Yıldırım Üniversitesi
WT  - DergiPark
SN  - 2149-4584
SP  - 95
EP  - 104
VL  - 13
IS  - 1
LA  - en
AB  - Bu çalışmada quasilineer fonksiyonel analizde yeni bir kavram olanbiquasilineer fonksiyonel kavramını tanımladık. Bilineer fonksiyonel kavramındaolduğu gibi biquasilineer fonksiyonel ve kuadratik form kavramlarında da bir iççarpım quasilineer uzayına ihtiyaç duyulmadığını gördük. Bu fonksiyonelleri herhangi bir quasilineeruzayında tanımlayabildik. Çalışmamızda bu yeni kavramı verdikten sonra Hilbertquasilineer uzaylarda biquasilineer fonksiyoneller teorisi üzerine dikkatedeğer bazı örnekler verdik. Ve yine bu teori üzerine bazı teoremler veispatlarını çalışmamızda sunduk.
KW  - Biquasilineer fonksiyonel
KW  - quasilineer fonksiyonel
KW  - quasilineer uzay
KW  - normlu quasilineer uzay
KW  - iç çarpım quasilineer uzayı
N2  - In this paper, we will present the notion of the biquasilinear functional which is a new concept of quasilinear functional analysis. Just like bilinear functional, the notions of a biquasilinear functional and a quadratic form do not want to the constitution of an inner product quasilinear space. We were able to define these functionals  in any quasilinear space. After giving this new notion, we discuss some examples and prove some theorems for considerable exercises to the theory of biquasilinear functionlas in Hilbert quasilinear spaces.
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UR  - https://doi.org/10.18185/erzifbed.664675
L1  - https://dergipark.org.tr/tr/download/article-file/1015439
ER  -