NONDEGENERATE REAL-VALUED DIFFERENTIABLE FUNCTIONS

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pointfree topology version of image of real-valued continuous functions

Let $ { mathcal{R}} L$ be the ring of real-valued continuous functions on a frame $L$ as the pointfree  version of $C(X)$, the ring of all real-valued continuous functions on a topological space $X$. Since $C_c(X)$ is the largest subring of $C(X)$ whose elements have countable image, this motivates us to present the pointfree  version of $C_c(X).$The main aim of this paper is to present t...

متن کامل

Differentiable Functions into Real Normed Spaces

The notation and terminology used here have been introduced in the following papers: [12], [2], [3], [7], [9], [11], [1], [4], [10], [13], [6], [17], [18], [15], [8], [16], [19], and [5]. For simplicity, we adopt the following rules: F denotes a non trivial real normed space, G denotes a real normed space, X denotes a set, x, x0, r, p denote real numbers, n, k denote elements of N, Y denotes a ...

متن کامل

The ring of real-valued functions on a frame

In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

متن کامل

Isometric Differentiable Functions on Real Normed Space1

From now on S, T ,W , Y denote real normed spaces, f , f1, f2 denote partial functions from S to T , Z denotes a subset of S, and i, n denote natural numbers. Now we state the propositions: (1) Let us consider a set X and functions I, f . Then (f X) · I = (f · I) I−1(X). (2) Let us consider real normed spaces S, T , a linear operator L from S into T , and points x, y of S. Then L(x)− L(y) = L(x...

متن کامل

Real-valued Functions on Flows

We develop the flow analog of the classical Yosida adjunction between spaces and archimedean lattice-ordered groups with strong unit. A product of this development is the flow counterpart of the classical compactification of a space. We characterize those flows which are compactifiable, i.e., dense subflows of a compact flow. Finally, we exhibit a duality between the compactifications of a give...

متن کامل

ذخیره 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: Proceedings of the National Academy of Sciences

سال: 1967

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.57.1.32