an inflammatory pseudotumor (ipt) is a rare benign lesion, characterized by nonneoplastic proliferation of inflammatory cells and presence of intermingling collagen fibers. ipt commonly occurs in the lungs and orbita, while an intraspinal ipt is extremely rare. ipt can mimic both clinically and radiologically malignant processes, and making a definitive preoperative diagnosis is often difficult...

in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

1.1. Normed spaces. Recall that a (real) vector space V is called a normed space if there exists a function ‖ · ‖ : V → R such that (1) ‖f‖ ≥ 0 for all f ∈ V and ‖f‖ = 0 if and only if f = 0. (2) ‖af‖ = |a| ‖f‖ for all f ∈ V and all scalars a. (3) (Triangle inequality) ‖f + g‖ ≤ ‖f ||+ ‖g‖ for all f, g ∈ V . If V is a normed space, then d(f, g) = ‖f−g‖ defines a metric on V . Convergence w.r.t ...

The properties of the metric topology on infinite and finite sets are analyzed. We answer whether finite metric spaces hold interest in algebraic topology, and how this result is generalized to pseudometric spaces through the Kolmogorov quotient. Embedding into Lebesgue spaces is analyzed, with special attention for Hilbert spaces, `p, and EN .

The notion of a strongly dense inner product space is introduced and it is shown that, for such an incomplete space S (in particular, for each incomplete hyperplane of a Hilbert space), the system F(S) of all orthogonally closed subspaces of S is not stateless, and the state-space of F(S) is affinely homeomorphic to the face consisting of the free states on the projection lattice corresponding ...

We realize the physical N -anyon Hilbert spaces, introduced previously via unitary representations of the group of diffeomorphisms of the plane, as N fold braided-symmetric tensor products of the 1-particle Hilbert space. This perspective provides a convenient Fock space construction for nonrelativistic anyon quantum fields along the more usual lines of boson and fermion fields, but in a braide...

An important subclass of well-posed linear systems is formed by the conservative systems. A conservative system is a system for which a certain energy balance equation is satisfied both by its trajectories and those of its dual system. In Malinen et al. [10], a number of algebraic characterizations of conservative linear systems are given in terms of the operators appearing in the state space d...