On generalized limits and linear functionals

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Almost multiplicative linear functionals and approximate spectrum

We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...

Generalized Covering Groups and Direct Limits

A Note on Linear Functionals

A slight modification of the example given shows that if N is chosen arbitrarily, there exists a limited region* having at least JV distinct points O whose conjugates D lie at infinity.f Theorem III becomes false if in the hypothesis the region R is not assumed limited, for the reader may verify that no point O of the region R has its conjugate at infinity if R is the entire plane slit along th...

almost multiplicative linear functionals and approximate spectrum

we define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital banach algebra a and show that the δ-approximate spectrum σ_δ (a) of a is compact. the relation between the δ-approximate spectrum and the usual spectrum is investigated. also an analogue of the classical gleason-kahane-zelazko theorem is established: for each ε>0, there is δ>0 such that if ϕ is...