On the open ball centered at an invertible element of a Banach algebra
نویسندگان
چکیده
منابع مشابه
Some notes on the existence of an inequality in Banach algebra
We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.
متن کاملOn some open problems in cone metric space over Banach algebra
In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...
متن کاملConnectivity of the set of invertible elements of a complex Banach algebra
Proof. Denote by 1 the unit element of B. Let a ∈ B×. We show that 1 and a can be connected by a path in B×. Let A be the subalgebra of B generated by 1 and a. That is A = {P (a) : P (t) ∈ C[t]}. Because A× ⊂ B×, it suffices to find a path in A× that connects 1 with a. First, we determine all multiplicative functionals of A. Since A is a linear subspace of B, it is finite dimensional. Then ther...
متن کاملOn the Banach Algebra
We give some properties of the Banach algebra of bounded operators (lp(α)) for 1≤ p≤∞, where lp(α)= (1/α)−1∗lp . Then we deal with the continued fractions and give some properties of the operator ∆h for h > 0 or integer greater than or equal to one mapping lp(α) into itself for p ≥ 1 real. These results extend, among other things, those concerning the Banach algebra Sα and some results on the c...
متن کاملthe effect of consciousness raising (c-r) on the reduction of translational errors: a case study
در دوره های آموزش ترجمه استادان بیشتر سعی دارند دانشجویان را با انواع متون آشنا سازند، درحالی که کمتر به خطاهای مکرر آنان در متن ترجمه شده می پردازند. اهمیت تحقیق حاضر مبنی بر ارتکاب مکرر خطاهای ترجمانی حتی بعد از گذراندن دوره های تخصصی ترجمه از سوی دانشجویان است. هدف از آن تاکید بر خطاهای رایج میان دانشجویان مترجمی و کاهش این خطاها با افزایش آگاهی و هوشیاری دانشجویان از بروز آنها است.از آنجا ک...
15 صفحه اولذخیره 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: Operators and Matrices
سال: 2018
ISSN: 1846-3886
DOI: 10.7153/oam-2018-12-02