A bounded linear operator T on a Hilbert space is said to be homogeneous if $$\varphi (T)$$ unitarily equivalent for all $$ in the group Möb of bi-holomorphic automorphisms unit disc. projective unitary representation $$\sigma associated with an (T)= \sigma (\varphi )^* )$$ Möb. In this paper, we develop Möbius equivariant version Sz.-Nagy–Foias model theory completely non-unitary (cnu) contrac...

Evaluators and researchers often have to deal with situations in which conventional research tools are impossible to use, either because of the characteristics of a population or unclear research variables. This paper presents a technique that succeeds in overcoming this kind of problem--a projective technique, but one that differs from the usual approach to projective techniques. The approach ...

During recent years, several studies have revealed that human-dog relationships are based on a well-established and complex bond. There is now evidence suggesting that the dog-human affectional bond can be characterized as an "attachment". The present study investigated possible association between the owners' attachment profile assessed throughout a new semi-projective test (the 9 Attachment P...

We investigate the properties of projective semisymmetric connections of a Riemannian manifold. Some interesting results with respect to the invariant of this semi-symmetric connection are given. Mathematics Subject Classification: 53C12

in this paper we demonstrate the existence of a set of polynomials pi , 1 i  n , which arepositive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in thelagrange interpolation process. in other words, if a  a1  an  b is a given finite sequence of realnumbers, then pi (a j )  ij (ij is the kronecker delta symbol ) ; moreover, the sum of ...

Let $\pi: X \to S$ be a family of smooth projective curves, and let $L$ $M$ pair line bundles on $X$. We show that Deligne's bundle $\langle{L,M}\rangle$ can obtained from the $\mathcal{K}_2$-gerbe $G_{L,M}$ constructed in previous work by authors via an integration along fiber map for gerbes categorifies well known one arising Leray spectral sequence $\pi$. Our construction provides full acc...

Let $m,n$ be positive integers with $m \lt n$. Under certain assumptions on the Banach space $X$, we prove that $n$-fold projective tensor product of $\widehat {\otimes }{}^n_\pi X$, is not isomorphic to any subspace quotient $m$-fo

Let $mathcal{X}$ be a class of $R$-modules‎. ‎In this paper‎, ‎we investigate ;$mathcal{X}$-injective (projective) and DG-$mathcal{X}$-injective (projective) complexes which are generalizations of injective (projective) and DG-injecti‎‎ve (projective) complexes‎. ‎We prove that some known results can be extended to the class of ;$mathcal{X}$-injective (projective) and DG-$mathcal{X}$-injective ...