This work is an in-depth study of the class of norm-attainable operators in a general Banach space setting. We give characterizations of norm-attainable operators on involutive stereotype tubes with algebraically connected component of the identity. In particular, we prove reflexivity, boundedness and compactness properties when the set of these operators contains unit balls with involution for the tubes when they are of stereotype category
New sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the class of norm-attainable operators. Moreover, we show the existence of an equivalence relation in the case of the class of norm-attainable operators with the Bergman determinant for the class of composition operators.
In this paper, we give new characterizations of monopole bundle systems of complex hypermanifolds in n-dimensional spaces for certain classes of operators. In particular, we consider the reproducing kernels for decomposable polynomials of finite algebraic multiplicity for the trace class of composition operators.
In this paper, we give new characterizations of monopole bundle systems of complex hypermanifolds in n-dimensional spaces for certain classes of operators. In particular, we consider the reproducing kernels for decomposable polynomials of finite algebraic multiplicity for the trace class of composition operators.
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