We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna–Pick (CNP) kernel. For such operator T, the domains of T and \(T^*\) are reproducing kernel contractively contained ambient space. study several aspects these spaces, especially domain \(T^*\), which can be viewed as analogs classical deBranges–Rovnyak unit di...

We use boundary triples to find a parametrization of all self-adjoint extensions the magnetic Schrodinger operator, in quasi-convex domain~$\Omega$ with compact boundary, and potentials components $\textrm{W}^{1}_{\infty}(\overline{\Omega})$. This gives also new characterization Laplacian nonregular domains. Then we discuss gauge transformations for such generalize equivalence Dirichlet operato...

Let D be the open unit disk in the complex plane C. Denote by H(D) the class of all functions analytic on D. An analytic self-map φ : D → D induces the composition operator Cφ on H(D), defined by Cφ ( f ) = f (φ(z)) for f analytic on D. It is a well-known consequence of Littlewood’s subordination principle that the composition operator Cφ is bounded on the classical Hardy and Bergman spaces (se...

We study regular non-semisimple Dubrovin-Frobenius manifolds in dimensions 2,3,4. focus on the case where Jordan canonical form of operator multiplication by Euler vector field has a single block. Our results rely existence special local coordinates introduced [4] for flat F-manifolds with field. In such invariant metric manifold takes which is starting point our construction.

A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis are made by two in a Hilbert space, respectively. In this paper we investigate spectra some multipliers giving, particular, conditions to be at most countable. The contribution extends results available literature about Bessel with symbol decaying zero Riesz bases.

In this paper, we develop to a new operator by using together IVBFS and Dombi operators. Also, the some properties of concept are introduced like addition, scalar multiplication, power, multiplication. The presented is Interval Valued Bipolar Fuzzy Prioritized Weighted Averaging (IVBFPWDA) various offered idempotency, monotoncity, boundedness. Then, present score function similar over (IVBFSs) ...

Abstract Consider the space of weighted binomial matrices in Nakano sequence soft functions. We have offered some geometric and topological structures multiplication operator acting on this its associated ideal. The existence a fixed point Kannan contraction prequasioperator ideal is confirmed. Finally, we discuss many applications solutions to nonlinear stochastic dynamical matrix systems illu...

We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent associated with rational function. also study connections to Cuntz relations. An important tool new representation result for analytic functions, in terms of composition and multiplication operators given Applications theory de Branges-Rovnyak spaces, indefinite metric sett...

In this paper we prove two matrix weighted norm inequalities for the commutator of a fractional integral operator and multiplication by symbol. More precisely, extend recent results second author, Pott, Treil on commutators Calderon-Zygmund operators symbol to setting. particular, completely Bloom theory Holmes, Rahm, Spencer setting with also provide new arbitrary weights. These are even in sc...