Topological equivalence of a Banach space with its unit cell

validation of a revised logical-mathematical intelligence scale and exploring its relationship with english language proficiency

نظریه هوش چندگانه قسمتهای متفاوت هوش بشری را مورد بررسی قرار می دهد که با شناخت آن شخص به درک بهتری از توانایی های خود میرسد و در نتیجه سعی در استفاده از آن جهت یادگیری بهتر میکند. همچنین با شناخت استعداد دانش آموزان، فرایند یادگیری بهتر میشود. هدف از انجام دادن این تحقیق بررسی رابطه بین هوش ریاضی و استعداد یادگیری زبان انگلیسی میباشد. برای انجام این تحقیق از پرسشنامه هوش ریاضی که توسط شیرر در ...

Menger probabilistic normed space is a category topological vector space

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

The Topological Support of Gaussian Measure in Banach Space

The main result of the present paper is the theorem 1, which describes the topological support of an arbitrary Gaussian measure in a separable Banach space. This theorem will be proved after some discussion of the notion of support itself. But we begin with the reminder of the notion of covariance operator of a probability measure. This notion has a great importance not only for the description...

On the topological equivalence of some generalized metric spaces

‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...

Topological Centers of Certain Banach Module Actions