Total decomposition and block numerical range.
Total Reduction of Linear Systems of Operator Equations With the System Matrix in the Companion Form
Totally Abelian Operators and Analytic Functions.
Towards a "Matrix Theory" for Unbounded Operator Matrices.
Towards a non-selfadjoint version of Kadison's theorem.
Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications
We are concerned with some unbounded linear operators on the so-called -adic Hilbert space . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on , and the solvability of the equation where is a linear operator on .
Towards an innovation theory of spatial Brownian motion under boundary conditions.
Towards viscosity approximations of hierarchical fixed-point problems.
Trace and determinant in Banach algebras
We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.
Trace and determinant in Jordan-Banach algebras.
Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is equal to the...
Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas
For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.
Trace Formula for Nonnuclear Perturbations of Selfađoint Operators
Trace formula for nuclear perturbations of discrete nonselfadjoint operators.
Trace formulae for p-hyponormal operators
The purpose of this paper is to introduce mosaics and principal functions of p-hyponormal operators and give a trace formula. Also we introduce p-nearly normal operators and give trace formulae for them.
Trace Formulas of Gelfand--levitan Type
Trace inequalities for spaces in spectral duality
Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
Trace Properties of the Dirichlet Laplacian.
Traces of commutators of Schatten-von Neumann class operators.
Traces on the cone algebra with asymptotics
Tracial numerical ranges and linear dependence of operators.