جستجوی مقالات مرتبط با کلیدواژه « Lineability » در نشریات گروه « ریاضی »

In this paper, we introduce the concept strong algebrability of certain C^* algebras generated by finite generators. In fact, using Gelfand theorem, we identify the members of the C^* algebra generated by one element, with the continuous functions on its spectrum, and use some recent result for strong algebrability for functions spaces.
Moreover, we introduce the new concept unitable elements in unital C^* algebras, and then we express our main result for this kind of elements. In fact, the C^* subalgebra generated by a non unitable element in a C^* algebra is strongly c algebrable.
As the last result in this paper, we show 2^c strong algebrability of direct sums of C^* algebras, using non unitable elements of them

Gordon presented an example of a function that is Denjoy integrable but not Lebesgue integrable in the book: The integrals of Lebesgue, Denjoy , Peron and Henstock. This example showed thst, the class of Denjoy integrable functions is larger than the class of Lebesgue integrable functions. We are going to show that the set of Denjoy integrable functions that are not Lebesgue integrable, contains an infinite dimensional vector space.

We want to show the lineability of space of quasi-everywhere surjective functions, i.e. we want to show that the space contains a vector space with infinite dimension.