Ranges and kernels of derivations
نویسندگان
چکیده
منابع مشابه
Stability of infinite ranges and kernels
Let z 7→ A(z) be a regular function defined on a connected set whose values are mutually commuting essentially Kato operators. Then the spaces R∞(A(z)) and N∞(A(z)) are constant. This generalizes results of Aupetit and Zemánek. Denote by B(X) the set of all bounded linear operators on a complex Banach space X. For T ∈ B(X) denote by N(T ) the null space and by R(T ) the range of T , respectivel...
متن کاملf-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS
Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولActions, Norms, Subactions and Kernels of (Fuzzy) Norms
In this paper, we introduce the notion of an action $Y_X$as a generalization of the notion of a module,and the notion of a norm $vt: Y_Xto F$, where $F$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: Y_Xto [0, 1]subseteq {bf R}$, with $bf R$ the set of all real numbers. A great many standard mappings on algebr...
متن کاملf-derivations and (f; g)-derivations of mv -algebras
recently, the algebraic theory of mv -algebras is intensively studied. in this paper, we extend the concept of derivation of $mv$-algebras and we give someillustrative examples. moreover, as a generalization of derivations of $mv$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $mv$-algebras.also, we investigate some properties of them.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2017
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1511-45