On some examples of non-normal operators, II

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

On some properties of Banach operators. II

Using the notion of a Banach operator, we have obtained a decompositional property of a Hilbert space, and the equality of two invertible bounded linear multiplicative operators on a normed algebra with identity. 1. Introduction. This paper is a continuation of our earlier work [7] on Banach operators. We recall that if X is a normed space and α : X → X is a mapping, then following [4], α is sa...

Graph homomorphisms II: some examples

In this talk we will discuss some examples of graph homomorphisms. More precisely, the graph parameters which can be represented by counting the graph homomorphisms. The main reference is Section 2 in [2].

Semiflows Generated by Lipschitz Perturbations of Non-densely Defined Operators II. Examples

Some examples on duality

An immediate corollary is that it is always possible to pick a Z-lattice inside QS so that the corresponding p-modular reduction is isomorphic to the dual of the conventional p-modular reduction (coming from the standard basis and written FpS λ). Thus our theorem gives a rich source of examples of non-isomorphic p-modular reductions. It would be interesting to know how far it is possible, by pi...