Spectrum of Time Operators

Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2

Let -----. For an analytic self-map ---  of --- , Let --- be the composition operator with composite map ---  so that ----. Let ---  be a bounded analytic function on --- . The weighted composition operator ---  is defined by --- . Suppose that ---  is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....

Spectrum Properties of the Koopman and Frobenius-Perron Operators

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Measure of non strict singularity of Schechter essential spectrum of two bounded operators and application

In this paper‎, ‎we discuss the essential spectrum of sum of two bounded operators‎ ‎using measure of non strict singularity‎. ‎Based on this new investigation‎, ‎a problem of one-speed neutron transport operator is presented‎.

Operators with Singularcontinuous Spectrum , Vii

We construct one-dimensional potentials V (x) so that if H = ? d 2 dx 2 + V (x) on L 2 (R), then H has purely singular spectrum; but for a dense set D, ' 2 D implies that j(';e ?itH ')j C ' jtj ?1=2 ln(jtj) for jtj > 2. This implies the spectral measures have Hausdorr dimension one and also, following an idea of Malozemov-Molchanov, provides counterexamples to the direct extension of the theore...